Finding the Third Proportional to 10,732.50 and 16,503.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,732.50 : 16,503.75 = 16,503.75 : x
2. Step 2: Convert to fraction form
   10,732.50/16,503.75 = 16,503.75/x
3. Step 3: Cross multiply
   10,732.50x = 16,503.75 × 16,503.75
4. Step 4: Simplify right side
   10,732.50x = 272,373,764.06
5. Step 5: Solve for x
   x = 272,373,764.06/10,732.50
6. Step 6: Final answer
   x = 25,378.41