Finding the Third Proportional to 33,089.50 and 72,128

Step by Step Solution

1. Step 1: Write the proportion equation
   33,089.50 : 72,128 = 72,128 : x
2. Step 2: Convert to fraction form
   33,089.50/72,128 = 72,128/x
3. Step 3: Cross multiply
   33,089.50x = 72,128 × 72,128
4. Step 4: Simplify right side
   33,089.50x = 5,202,448,384
5. Step 5: Solve for x
   x = 5,202,448,384/33,089.50
6. Step 6: Final answer
   x = 157,223.54