Finding the Third Proportional to 763.59 and 1,072.41

Step by Step Solution

1. Step 1: Write the proportion equation
   763.59 : 1,072.41 = 1,072.41 : x
2. Step 2: Convert to fraction form
   763.59/1,072.41 = 1,072.41/x
3. Step 3: Cross multiply
   763.59x = 1,072.41 × 1,072.41
4. Step 4: Simplify right side
   763.59x = 1,150,055.17
5. Step 5: Solve for x
   x = 1,150,055.17/763.59
6. Step 6: Final answer
   x = 1,506.11