Finding the Third Proportional to 51,162.50 and 78,532

Step by Step Solution

1. Step 1: Write the proportion equation
   51,162.50 : 78,532 = 78,532 : x
2. Step 2: Convert to fraction form
   51,162.50/78,532 = 78,532/x
3. Step 3: Cross multiply
   51,162.50x = 78,532 × 78,532
4. Step 4: Simplify right side
   51,162.50x = 6,167,275,024
5. Step 5: Solve for x
   x = 6,167,275,024/51,162.50
6. Step 6: Final answer
   x = 120,542.88