Finding the Third Proportional to 49,116.50 and 75,084.75

Step by Step Solution

1. Step 1: Write the proportion equation
   49,116.50 : 75,084.75 = 75,084.75 : x
2. Step 2: Convert to fraction form
   49,116.50/75,084.75 = 75,084.75/x
3. Step 3: Cross multiply
   49,116.50x = 75,084.75 × 75,084.75
4. Step 4: Simplify right side
   49,116.50x = 5,637,719,682.56
5. Step 5: Solve for x
   x = 5,637,719,682.56/49,116.50
6. Step 6: Final answer
   x = 114,782.60