Finding the Third Proportional to 33,376.50 and 72,523

Step by Step Solution

1. Step 1: Write the proportion equation
   33,376.50 : 72,523 = 72,523 : x
2. Step 2: Convert to fraction form
   33,376.50/72,523 = 72,523/x
3. Step 3: Cross multiply
   33,376.50x = 72,523 × 72,523
4. Step 4: Simplify right side
   33,376.50x = 5,259,585,529
5. Step 5: Solve for x
   x = 5,259,585,529/33,376.50
6. Step 6: Final answer
   x = 157,583.50