Finding the Third Proportional to 30,681,769,983 and 71,686,458,868.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,681,769,983 : 71,686,458,868.50 = 71,686,458,868.50 : x
2. Step 2: Convert to fraction form
   30,681,769,983/71,686,458,868.50 = 71,686,458,868.50/x
3. Step 3: Cross multiply
   30,681,769,983x = 71,686,458,868.50 × 71,686,458,868.50
4. Step 4: Simplify right side
   30,681,769,983x = 5,138,948,385,105,142,349,824
5. Step 5: Solve for x
   x = 5,138,948,385,105,142,349,824/30,681,769,983
6. Step 6: Final answer
   x = 167,491,914,187.24