Finding the Third Proportional to 761.50 and 1,780

Step by Step Solution

1. Step 1: Write the proportion equation
   761.50 : 1,780 = 1,780 : x
2. Step 2: Convert to fraction form
   761.50/1,780 = 1,780/x
3. Step 3: Cross multiply
   761.50x = 1,780 × 1,780
4. Step 4: Simplify right side
   761.50x = 3,168,400
5. Step 5: Solve for x
   x = 3,168,400/761.50
6. Step 6: Final answer
   x = 4,160.74