Finding the Third Proportional to 49,488 and 76,455

Step by Step Solution

1. Step 1: Write the proportion equation
   49,488 : 76,455 = 76,455 : x
2. Step 2: Convert to fraction form
   49,488/76,455 = 76,455/x
3. Step 3: Cross multiply
   49,488x = 76,455 × 76,455
4. Step 4: Simplify right side
   49,488x = 5,845,367,025
5. Step 5: Solve for x
   x = 5,845,367,025/49,488
6. Step 6: Final answer
   x = 118,116.86