Finding the Third Proportional to 42,942 and 91,590

Step by Step Solution

1. Step 1: Write the proportion equation
   42,942 : 91,590 = 91,590 : x
2. Step 2: Convert to fraction form
   42,942/91,590 = 91,590/x
3. Step 3: Cross multiply
   42,942x = 91,590 × 91,590
4. Step 4: Simplify right side
   42,942x = 8,388,728,100
5. Step 5: Solve for x
   x = 8,388,728,100/42,942
6. Step 6: Final answer
   x = 195,350.20