Finding the Third Proportional to 35,632 and 51,864

Step by Step Solution

1. Step 1: Write the proportion equation
   35,632 : 51,864 = 51,864 : x
2. Step 2: Convert to fraction form
   35,632/51,864 = 51,864/x
3. Step 3: Cross multiply
   35,632x = 51,864 × 51,864
4. Step 4: Simplify right side
   35,632x = 2,689,874,496
5. Step 5: Solve for x
   x = 2,689,874,496/35,632
6. Step 6: Final answer
   x = 75,490.42