Finding the Third Proportional to 31,886 and 46,854.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,886 : 46,854.50 = 46,854.50 : x
2. Step 2: Convert to fraction form
   31,886/46,854.50 = 46,854.50/x
3. Step 3: Cross multiply
   31,886x = 46,854.50 × 46,854.50
4. Step 4: Simplify right side
   31,886x = 2,195,344,170.25
5. Step 5: Solve for x
   x = 2,195,344,170.25/31,886
6. Step 6: Final answer
   x = 68,849.78