Finding the Third Proportional to 33,653.50 and 52,102.75

Step by Step Solution

1. Step 1: Write the proportion equation
   33,653.50 : 52,102.75 = 52,102.75 : x
2. Step 2: Convert to fraction form
   33,653.50/52,102.75 = 52,102.75/x
3. Step 3: Cross multiply
   33,653.50x = 52,102.75 × 52,102.75
4. Step 4: Simplify right side
   33,653.50x = 2,714,696,557.56
5. Step 5: Solve for x
   x = 2,714,696,557.56/33,653.50
6. Step 6: Final answer
   x = 80,666.10