Finding the Third Proportional to 21,706.50 and 32,553.75

Step by Step Solution

1. Step 1: Write the proportion equation
   21,706.50 : 32,553.75 = 32,553.75 : x
2. Step 2: Convert to fraction form
   21,706.50/32,553.75 = 32,553.75/x
3. Step 3: Cross multiply
   21,706.50x = 32,553.75 × 32,553.75
4. Step 4: Simplify right side
   21,706.50x = 1,059,746,639.06
5. Step 5: Solve for x
   x = 1,059,746,639.06/21,706.50
6. Step 6: Final answer
   x = 48,821.63