Finding the Third Proportional to 14,584 and 31,238

Step by Step Solution

1. Step 1: Write the proportion equation
   14,584 : 31,238 = 31,238 : x
2. Step 2: Convert to fraction form
   14,584/31,238 = 31,238/x
3. Step 3: Cross multiply
   14,584x = 31,238 × 31,238
4. Step 4: Simplify right side
   14,584x = 975,812,644
5. Step 5: Solve for x
   x = 975,812,644/14,584
6. Step 6: Final answer
   x = 66,909.81