Finding the Third Proportional to 10,822.50 and 16,737.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,822.50 : 16,737.75 = 16,737.75 : x
2. Step 2: Convert to fraction form
   10,822.50/16,737.75 = 16,737.75/x
3. Step 3: Cross multiply
   10,822.50x = 16,737.75 × 16,737.75
4. Step 4: Simplify right side
   10,822.50x = 280,152,275.06
5. Step 5: Solve for x
   x = 280,152,275.06/10,822.50
6. Step 6: Final answer
   x = 25,886.10