Finding the Third Proportional to 42,756 and 91,320

Step by Step Solution

1. Step 1: Write the proportion equation
   42,756 : 91,320 = 91,320 : x
2. Step 2: Convert to fraction form
   42,756/91,320 = 91,320/x
3. Step 3: Cross multiply
   42,756x = 91,320 × 91,320
4. Step 4: Simplify right side
   42,756x = 8,339,342,400
5. Step 5: Solve for x
   x = 8,339,342,400/42,756
6. Step 6: Final answer
   x = 195,044.96