Finding the Third Proportional to 22,864 and 35,385

Step by Step Solution

1. Step 1: Write the proportion equation
   22,864 : 35,385 = 35,385 : x
2. Step 2: Convert to fraction form
   22,864/35,385 = 35,385/x
3. Step 3: Cross multiply
   22,864x = 35,385 × 35,385
4. Step 4: Simplify right side
   22,864x = 1,252,098,225
5. Step 5: Solve for x
   x = 1,252,098,225/22,864
6. Step 6: Final answer
   x = 54,762.87