Finding the Third Proportional to 49,138.50 and 75,534.75

Step by Step Solution

1. Step 1: Write the proportion equation
   49,138.50 : 75,534.75 = 75,534.75 : x
2. Step 2: Convert to fraction form
   49,138.50/75,534.75 = 75,534.75/x
3. Step 3: Cross multiply
   49,138.50x = 75,534.75 × 75,534.75
4. Step 4: Simplify right side
   49,138.50x = 5,705,498,457.56
5. Step 5: Solve for x
   x = 5,705,498,457.56/49,138.50
6. Step 6: Final answer
   x = 116,110.55