Finding the Third Proportional to 42,557 and 91,431

Step by Step Solution

1. Step 1: Write the proportion equation
   42,557 : 91,431 = 91,431 : x
2. Step 2: Convert to fraction form
   42,557/91,431 = 91,431/x
3. Step 3: Cross multiply
   42,557x = 91,431 × 91,431
4. Step 4: Simplify right side
   42,557x = 8,359,627,761
5. Step 5: Solve for x
   x = 8,359,627,761/42,557
6. Step 6: Final answer
   x = 196,433.67