Finding the Third Proportional to 35,662 and 49,854

Step by Step Solution

1. Step 1: Write the proportion equation
   35,662 : 49,854 = 49,854 : x
2. Step 2: Convert to fraction form
   35,662/49,854 = 49,854/x
3. Step 3: Cross multiply
   35,662x = 49,854 × 49,854
4. Step 4: Simplify right side
   35,662x = 2,485,421,316
5. Step 5: Solve for x
   x = 2,485,421,316/35,662
6. Step 6: Final answer
   x = 69,693.83