Finding the Third Proportional to 47,872.50 and 75,768.75

Step by Step Solution

1. Step 1: Write the proportion equation
   47,872.50 : 75,768.75 = 75,768.75 : x
2. Step 2: Convert to fraction form
   47,872.50/75,768.75 = 75,768.75/x
3. Step 3: Cross multiply
   47,872.50x = 75,768.75 × 75,768.75
4. Step 4: Simplify right side
   47,872.50x = 5,740,903,476.56
5. Step 5: Solve for x
   x = 5,740,903,476.56/47,872.50
6. Step 6: Final answer
   x = 119,920.70