Finding the Third Proportional to 14,569 and 31,262

Step by Step Solution

1. Step 1: Write the proportion equation
   14,569 : 31,262 = 31,262 : x
2. Step 2: Convert to fraction form
   14,569/31,262 = 31,262/x
3. Step 3: Cross multiply
   14,569x = 31,262 × 31,262
4. Step 4: Simplify right side
   14,569x = 977,312,644
5. Step 5: Solve for x
   x = 977,312,644/14,569
6. Step 6: Final answer
   x = 67,081.66