Finding the Third Proportional to 30,505 and 71,266.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,505 : 71,266.50 = 71,266.50 : x
2. Step 2: Convert to fraction form
   30,505/71,266.50 = 71,266.50/x
3. Step 3: Cross multiply
   30,505x = 71,266.50 × 71,266.50
4. Step 4: Simplify right side
   30,505x = 5,078,914,022.25
5. Step 5: Solve for x
   x = 5,078,914,022.25/30,505
6. Step 6: Final answer
   x = 166,494.48