Finding the Third Proportional to 33,898.50 and 52,913.25

Step by Step Solution

1. Step 1: Write the proportion equation
   33,898.50 : 52,913.25 = 52,913.25 : x
2. Step 2: Convert to fraction form
   33,898.50/52,913.25 = 52,913.25/x
3. Step 3: Cross multiply
   33,898.50x = 52,913.25 × 52,913.25
4. Step 4: Simplify right side
   33,898.50x = 2,799,812,025.56
5. Step 5: Solve for x
   x = 2,799,812,025.56/33,898.50
6. Step 6: Final answer
   x = 82,593.98