Finding the Third Proportional to 31,702 and 49,061

Step by Step Solution

1. Step 1: Write the proportion equation
   31,702 : 49,061 = 49,061 : x
2. Step 2: Convert to fraction form
   31,702/49,061 = 49,061/x
3. Step 3: Cross multiply
   31,702x = 49,061 × 49,061
4. Step 4: Simplify right side
   31,702x = 2,406,981,721
5. Step 5: Solve for x
   x = 2,406,981,721/31,702
6. Step 6: Final answer
   x = 75,925.23