Finding the Third Proportional to 51,019.50 and 76,580.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,019.50 : 76,580.50 = 76,580.50 : x
2. Step 2: Convert to fraction form
   51,019.50/76,580.50 = 76,580.50/x
3. Step 3: Cross multiply
   51,019.50x = 76,580.50 × 76,580.50
4. Step 4: Simplify right side
   51,019.50x = 5,864,572,980.25
5. Step 5: Solve for x
   x = 5,864,572,980.25/51,019.50
6. Step 6: Final answer
   x = 114,947.68