Finding the Third Proportional to 14,597 and 31,222

Step by Step Solution

1. Step 1: Write the proportion equation
   14,597 : 31,222 = 31,222 : x
2. Step 2: Convert to fraction form
   14,597/31,222 = 31,222/x
3. Step 3: Cross multiply
   14,597x = 31,222 × 31,222
4. Step 4: Simplify right side
   14,597x = 974,813,284
5. Step 5: Solve for x
   x = 974,813,284/14,597
6. Step 6: Final answer
   x = 66,781.76