Finding the Third Proportional to 20,506 and 32,604

Step by Step Solution

1. Step 1: Write the proportion equation
   20,506 : 32,604 = 32,604 : x
2. Step 2: Convert to fraction form
   20,506/32,604 = 32,604/x
3. Step 3: Cross multiply
   20,506x = 32,604 × 32,604
4. Step 4: Simplify right side
   20,506x = 1,063,020,816
5. Step 5: Solve for x
   x = 1,063,020,816/20,506
6. Step 6: Final answer
   x = 51,839.50