Finding the Third Proportional to 16,385 and 24,658.38

Step by Step Solution

1. Step 1: Write the proportion equation
   16,385 : 24,658.38 = 24,658.38 : x
2. Step 2: Convert to fraction form
   16,385/24,658.38 = 24,658.38/x
3. Step 3: Cross multiply
   16,385x = 24,658.38 × 24,658.38
4. Step 4: Simplify right side
   16,385x = 608,035,457.64
5. Step 5: Solve for x
   x = 608,035,457.64/16,385
6. Step 6: Final answer
   x = 37,109.27