Finding the Third Proportional to 42,422 and 91,566

Step by Step Solution

1. Step 1: Write the proportion equation
   42,422 : 91,566 = 91,566 : x
2. Step 2: Convert to fraction form
   42,422/91,566 = 91,566/x
3. Step 3: Cross multiply
   42,422x = 91,566 × 91,566
4. Step 4: Simplify right side
   42,422x = 8,384,332,356
5. Step 5: Solve for x
   x = 8,384,332,356/42,422
6. Step 6: Final answer
   x = 197,641.14