Finding the Third Proportional to 32,654 and 72,604

Step by Step Solution

1. Step 1: Write the proportion equation
   32,654 : 72,604 = 72,604 : x
2. Step 2: Convert to fraction form
   32,654/72,604 = 72,604/x
3. Step 3: Cross multiply
   32,654x = 72,604 × 72,604
4. Step 4: Simplify right side
   32,654x = 5,271,340,816
5. Step 5: Solve for x
   x = 5,271,340,816/32,654
6. Step 6: Final answer
   x = 161,430.17