Finding the Third Proportional to 786 and 1,112.25

Step by Step Solution

1. Step 1: Write the proportion equation
   786 : 1,112.25 = 1,112.25 : x
2. Step 2: Convert to fraction form
   786/1,112.25 = 1,112.25/x
3. Step 3: Cross multiply
   786x = 1,112.25 × 1,112.25
4. Step 4: Simplify right side
   786x = 1,237,100.06
5. Step 5: Solve for x
   x = 1,237,100.06/786
6. Step 6: Final answer
   x = 1,573.92