Finding the Third Proportional to 42,713 and 91,741

Step by Step Solution

1. Step 1: Write the proportion equation
   42,713 : 91,741 = 91,741 : x
2. Step 2: Convert to fraction form
   42,713/91,741 = 91,741/x
3. Step 3: Cross multiply
   42,713x = 91,741 × 91,741
4. Step 4: Simplify right side
   42,713x = 8,416,411,081
5. Step 5: Solve for x
   x = 8,416,411,081/42,713
6. Step 6: Final answer
   x = 197,045.66