Finding the Third Proportional to 31,902 and 46,876.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,902 : 46,876.50 = 46,876.50 : x
2. Step 2: Convert to fraction form
   31,902/46,876.50 = 46,876.50/x
3. Step 3: Cross multiply
   31,902x = 46,876.50 × 46,876.50
4. Step 4: Simplify right side
   31,902x = 2,197,406,252.25
5. Step 5: Solve for x
   x = 2,197,406,252.25/31,902
6. Step 6: Final answer
   x = 68,879.89