Finding the Third Proportional to 31,499 and 46,842

Step by Step Solution

1. Step 1: Write the proportion equation
   31,499 : 46,842 = 46,842 : x
2. Step 2: Convert to fraction form
   31,499/46,842 = 46,842/x
3. Step 3: Cross multiply
   31,499x = 46,842 × 46,842
4. Step 4: Simplify right side
   31,499x = 2,194,172,964
5. Step 5: Solve for x
   x = 2,194,172,964/31,499
6. Step 6: Final answer
   x = 69,658.50