Finding the Third Proportional to 31,882 and 46,850

Step by Step Solution

1. Step 1: Write the proportion equation
   31,882 : 46,850 = 46,850 : x
2. Step 2: Convert to fraction form
   31,882/46,850 = 46,850/x
3. Step 3: Cross multiply
   31,882x = 46,850 × 46,850
4. Step 4: Simplify right side
   31,882x = 2,194,922,500
5. Step 5: Solve for x
   x = 2,194,922,500/31,882
6. Step 6: Final answer
   x = 68,845.19