Finding the Third Proportional to 766.88 and 1,510.50

Step by Step Solution

1. Step 1: Write the proportion equation
   766.88 : 1,510.50 = 1,510.50 : x
2. Step 2: Convert to fraction form
   766.88/1,510.50 = 1,510.50/x
3. Step 3: Cross multiply
   766.88x = 1,510.50 × 1,510.50
4. Step 4: Simplify right side
   766.88x = 2,281,610.25
5. Step 5: Solve for x
   x = 2,281,610.25/766.88
6. Step 6: Final answer
   x = 2,975.20