Finding the Third Proportional to 24,084 and 34,411.50

Step by Step Solution

1. Step 1: Write the proportion equation
   24,084 : 34,411.50 = 34,411.50 : x
2. Step 2: Convert to fraction form
   24,084/34,411.50 = 34,411.50/x
3. Step 3: Cross multiply
   24,084x = 34,411.50 × 34,411.50
4. Step 4: Simplify right side
   24,084x = 1,184,151,332.25
5. Step 5: Solve for x
   x = 1,184,151,332.25/24,084
6. Step 6: Final answer
   x = 49,167.55