Finding the Third Proportional to 5,010.75 and 7,756.88

Step by Step Solution

1. Step 1: Write the proportion equation
   5,010.75 : 7,756.88 = 7,756.88 : x
2. Step 2: Convert to fraction form
   5,010.75/7,756.88 = 7,756.88/x
3. Step 3: Cross multiply
   5,010.75x = 7,756.88 × 7,756.88
4. Step 4: Simplify right side
   5,010.75x = 60,169,109.77
5. Step 5: Solve for x
   x = 60,169,109.77/5,010.75
6. Step 6: Final answer
   x = 12,008.00