Finding the Third Proportional to 49,080 and 75,144

Step by Step Solution

1. Step 1: Write the proportion equation
   49,080 : 75,144 = 75,144 : x
2. Step 2: Convert to fraction form
   49,080/75,144 = 75,144/x
3. Step 3: Cross multiply
   49,080x = 75,144 × 75,144
4. Step 4: Simplify right side
   49,080x = 5,646,620,736
5. Step 5: Solve for x
   x = 5,646,620,736/49,080
6. Step 6: Final answer
   x = 115,049.32