Finding the Third Proportional to 31,674 and 46,498.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,674 : 46,498.50 = 46,498.50 : x
2. Step 2: Convert to fraction form
   31,674/46,498.50 = 46,498.50/x
3. Step 3: Cross multiply
   31,674x = 46,498.50 × 46,498.50
4. Step 4: Simplify right side
   31,674x = 2,162,110,502.25
5. Step 5: Solve for x
   x = 2,162,110,502.25/31,674
6. Step 6: Final answer
   x = 68,261.37