Finding the Third Proportional to 31,769.96 and 68,770.27

Step by Step Solution

1. Step 1: Write the proportion equation
   31,769.96 : 68,770.27 = 68,770.27 : x
2. Step 2: Convert to fraction form
   31,769.96/68,770.27 = 68,770.27/x
3. Step 3: Cross multiply
   31,769.96x = 68,770.27 × 68,770.27
4. Step 4: Simplify right side
   31,769.96x = 4,729,349,434.13
5. Step 5: Solve for x
   x = 4,729,349,434.13/31,769.96
6. Step 6: Final answer
   x = 148,862.32