Finding the Third Proportional to 32,938.31 and 72,123.75

Step by Step Solution

1. Step 1: Write the proportion equation
   32,938.31 : 72,123.75 = 72,123.75 : x
2. Step 2: Convert to fraction form
   32,938.31/72,123.75 = 72,123.75/x
3. Step 3: Cross multiply
   32,938.31x = 72,123.75 × 72,123.75
4. Step 4: Simplify right side
   32,938.31x = 5,201,835,314.06
5. Step 5: Solve for x
   x = 5,201,835,314.06/32,938.31
6. Step 6: Final answer
   x = 157,926.59