Finding the Third Proportional to 31,904 and 69,854

Step by Step Solution

1. Step 1: Write the proportion equation
   31,904 : 69,854 = 69,854 : x
2. Step 2: Convert to fraction form
   31,904/69,854 = 69,854/x
3. Step 3: Cross multiply
   31,904x = 69,854 × 69,854
4. Step 4: Simplify right side
   31,904x = 4,879,581,316
5. Step 5: Solve for x
   x = 4,879,581,316/31,904
6. Step 6: Final answer
   x = 152,945.75