Finding the Third Proportional to 14,654 and 32,065

Step by Step Solution

1. Step 1: Write the proportion equation
   14,654 : 32,065 = 32,065 : x
2. Step 2: Convert to fraction form
   14,654/32,065 = 32,065/x
3. Step 3: Cross multiply
   14,654x = 32,065 × 32,065
4. Step 4: Simplify right side
   14,654x = 1,028,164,225
5. Step 5: Solve for x
   x = 1,028,164,225/14,654
6. Step 6: Final answer
   x = 70,162.70