Finding the Third Proportional to 17,577 and 38,610

Step by Step Solution

1. Step 1: Write the proportion equation
   17,577 : 38,610 = 38,610 : x
2. Step 2: Convert to fraction form
   17,577/38,610 = 38,610/x
3. Step 3: Cross multiply
   17,577x = 38,610 × 38,610
4. Step 4: Simplify right side
   17,577x = 1,490,732,100
5. Step 5: Solve for x
   x = 1,490,732,100/17,577
6. Step 6: Final answer
   x = 84,811.52