Finding the Third Proportional to 786 and 1,072.50

Step by Step Solution

1. Step 1: Write the proportion equation
   786 : 1,072.50 = 1,072.50 : x
2. Step 2: Convert to fraction form
   786/1,072.50 = 1,072.50/x
3. Step 3: Cross multiply
   786x = 1,072.50 × 1,072.50
4. Step 4: Simplify right side
   786x = 1,150,256.25
5. Step 5: Solve for x
   x = 1,150,256.25/786
6. Step 6: Final answer
   x = 1,463.43