Finding the Third Proportional to 31,384 and 48,078

Step by Step Solution

1. Step 1: Write the proportion equation
   31,384 : 48,078 = 48,078 : x
2. Step 2: Convert to fraction form
   31,384/48,078 = 48,078/x
3. Step 3: Cross multiply
   31,384x = 48,078 × 48,078
4. Step 4: Simplify right side
   31,384x = 2,311,494,084
5. Step 5: Solve for x
   x = 2,311,494,084/31,384
6. Step 6: Final answer
   x = 73,651.99