Finding the Third Proportional to 42,342 and 91,380

Step by Step Solution

1. Step 1: Write the proportion equation
   42,342 : 91,380 = 91,380 : x
2. Step 2: Convert to fraction form
   42,342/91,380 = 91,380/x
3. Step 3: Cross multiply
   42,342x = 91,380 × 91,380
4. Step 4: Simplify right side
   42,342x = 8,350,304,400
5. Step 5: Solve for x
   x = 8,350,304,400/42,342
6. Step 6: Final answer
   x = 197,210.91