Finding the Third Proportional to 31,093 and 48,468

Step by Step Solution

1. Step 1: Write the proportion equation
   31,093 : 48,468 = 48,468 : x
2. Step 2: Convert to fraction form
   31,093/48,468 = 48,468/x
3. Step 3: Cross multiply
   31,093x = 48,468 × 48,468
4. Step 4: Simplify right side
   31,093x = 2,349,147,024
5. Step 5: Solve for x
   x = 2,349,147,024/31,093
6. Step 6: Final answer
   x = 75,552.28