Finding the Third Proportional to 51,009.75 and 78,301.69

Step by Step Solution

1. Step 1: Write the proportion equation
   51,009.75 : 78,301.69 = 78,301.69 : x
2. Step 2: Convert to fraction form
   51,009.75/78,301.69 = 78,301.69/x
3. Step 3: Cross multiply
   51,009.75x = 78,301.69 × 78,301.69
4. Step 4: Simplify right side
   51,009.75x = 6,131,154,265.35
5. Step 5: Solve for x
   x = 6,131,154,265.35/51,009.75
6. Step 6: Final answer
   x = 120,195.73