Finding the Third Proportional to 10,882 and 24,426.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,882 : 24,426.50 = 24,426.50 : x
2. Step 2: Convert to fraction form
   10,882/24,426.50 = 24,426.50/x
3. Step 3: Cross multiply
   10,882x = 24,426.50 × 24,426.50
4. Step 4: Simplify right side
   10,882x = 596,653,902.25
5. Step 5: Solve for x
   x = 596,653,902.25/10,882
6. Step 6: Final answer
   x = 54,829.43