Finding the Third Proportional to 14,662 and 31,820

Step by Step Solution

1. Step 1: Write the proportion equation
   14,662 : 31,820 = 31,820 : x
2. Step 2: Convert to fraction form
   14,662/31,820 = 31,820/x
3. Step 3: Cross multiply
   14,662x = 31,820 × 31,820
4. Step 4: Simplify right side
   14,662x = 1,012,512,400
5. Step 5: Solve for x
   x = 1,012,512,400/14,662
6. Step 6: Final answer
   x = 69,056.91