Finding the Third Proportional to 766.50 and 1,461

Step by Step Solution

1. Step 1: Write the proportion equation
   766.50 : 1,461 = 1,461 : x
2. Step 2: Convert to fraction form
   766.50/1,461 = 1,461/x
3. Step 3: Cross multiply
   766.50x = 1,461 × 1,461
4. Step 4: Simplify right side
   766.50x = 2,134,521
5. Step 5: Solve for x
   x = 2,134,521/766.50
6. Step 6: Final answer
   x = 2,784.76