Finding the Third Proportional to 51,040 and 76,613.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,040 : 76,613.50 = 76,613.50 : x
2. Step 2: Convert to fraction form
   51,040/76,613.50 = 76,613.50/x
3. Step 3: Cross multiply
   51,040x = 76,613.50 × 76,613.50
4. Step 4: Simplify right side
   51,040x = 5,869,628,382.25
5. Step 5: Solve for x
   x = 5,869,628,382.25/51,040
6. Step 6: Final answer
   x = 115,000.56