Finding the Third Proportional to 33,724.38 and 72,852.13

Step by Step Solution

1. Step 1: Write the proportion equation
   33,724.38 : 72,852.13 = 72,852.13 : x
2. Step 2: Convert to fraction form
   33,724.38/72,852.13 = 72,852.13/x
3. Step 3: Cross multiply
   33,724.38x = 72,852.13 × 72,852.13
4. Step 4: Simplify right side
   33,724.38x = 5,307,432,117.02
5. Step 5: Solve for x
   x = 5,307,432,117.02/33,724.38
6. Step 6: Final answer
   x = 157,376.74