Finding the Third Proportional to 49,079.25 and 75,538.13

Step by Step Solution

1. Step 1: Write the proportion equation
   49,079.25 : 75,538.13 = 75,538.13 : x
2. Step 2: Convert to fraction form
   49,079.25/75,538.13 = 75,538.13/x
3. Step 3: Cross multiply
   49,079.25x = 75,538.13 × 75,538.13
4. Step 4: Simplify right side
   49,079.25x = 5,706,008,328.52
5. Step 5: Solve for x
   x = 5,706,008,328.52/49,079.25
6. Step 6: Final answer
   x = 116,261.12