Finding the Third Proportional to 17,784 and 24,114

Step by Step Solution

1. Step 1: Write the proportion equation
   17,784 : 24,114 = 24,114 : x
2. Step 2: Convert to fraction form
   17,784/24,114 = 24,114/x
3. Step 3: Cross multiply
   17,784x = 24,114 × 24,114
4. Step 4: Simplify right side
   17,784x = 581,484,996
5. Step 5: Solve for x
   x = 581,484,996/17,784
6. Step 6: Final answer
   x = 32,697.09