Finding the Third Proportional to 14,978 and 32,566

Step by Step Solution

1. Step 1: Write the proportion equation
   14,978 : 32,566 = 32,566 : x
2. Step 2: Convert to fraction form
   14,978/32,566 = 32,566/x
3. Step 3: Cross multiply
   14,978x = 32,566 × 32,566
4. Step 4: Simplify right side
   14,978x = 1,060,544,356
5. Step 5: Solve for x
   x = 1,060,544,356/14,978
6. Step 6: Final answer
   x = 70,806.81