Finding the Third Proportional to 51,057 and 76,279.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,057 : 76,279.50 = 76,279.50 : x
2. Step 2: Convert to fraction form
   51,057/76,279.50 = 76,279.50/x
3. Step 3: Cross multiply
   51,057x = 76,279.50 × 76,279.50
4. Step 4: Simplify right side
   51,057x = 5,818,562,120.25
5. Step 5: Solve for x
   x = 5,818,562,120.25/51,057
6. Step 6: Final answer
   x = 113,962.08