Finding the Third Proportional to 47,872.13 and 75,768.19

Step by Step Solution

1. Step 1: Write the proportion equation
   47,872.13 : 75,768.19 = 75,768.19 : x
2. Step 2: Convert to fraction form
   47,872.13/75,768.19 = 75,768.19/x
3. Step 3: Cross multiply
   47,872.13x = 75,768.19 × 75,768.19
4. Step 4: Simplify right side
   47,872.13x = 5,740,818,237.04
5. Step 5: Solve for x
   x = 5,740,818,237.04/47,872.13
6. Step 6: Final answer
   x = 119,919.85