Finding the Third Proportional to 42,561 and 67,362

Step by Step Solution

1. Step 1: Write the proportion equation
   42,561 : 67,362 = 67,362 : x
2. Step 2: Convert to fraction form
   42,561/67,362 = 67,362/x
3. Step 3: Cross multiply
   42,561x = 67,362 × 67,362
4. Step 4: Simplify right side
   42,561x = 4,537,639,044
5. Step 5: Solve for x
   x = 4,537,639,044/42,561
6. Step 6: Final answer
   x = 106,614.95