Finding the Third Proportional to 42,736 and 91,280

Step by Step Solution

1. Step 1: Write the proportion equation
   42,736 : 91,280 = 91,280 : x
2. Step 2: Convert to fraction form
   42,736/91,280 = 91,280/x
3. Step 3: Cross multiply
   42,736x = 91,280 × 91,280
4. Step 4: Simplify right side
   42,736x = 8,332,038,400
5. Step 5: Solve for x
   x = 8,332,038,400/42,736
6. Step 6: Final answer
   x = 194,965.33