Finding the Third Proportional to 30,762 and 67,581

Step by Step Solution

1. Step 1: Write the proportion equation
   30,762 : 67,581 = 67,581 : x
2. Step 2: Convert to fraction form
   30,762/67,581 = 67,581/x
3. Step 3: Cross multiply
   30,762x = 67,581 × 67,581
4. Step 4: Simplify right side
   30,762x = 4,567,191,561
5. Step 5: Solve for x
   x = 4,567,191,561/30,762
6. Step 6: Final answer
   x = 148,468.62