Finding the Third Proportional to 49,200 and 75,981

Step by Step Solution

1. Step 1: Write the proportion equation
   49,200 : 75,981 = 75,981 : x
2. Step 2: Convert to fraction form
   49,200/75,981 = 75,981/x
3. Step 3: Cross multiply
   49,200x = 75,981 × 75,981
4. Step 4: Simplify right side
   49,200x = 5,773,112,361
5. Step 5: Solve for x
   x = 5,773,112,361/49,200
6. Step 6: Final answer
   x = 117,339.68