Finding the Third Proportional to 761.25 and 1,036.25

Step by Step Solution

1. Step 1: Write the proportion equation
   761.25 : 1,036.25 = 1,036.25 : x
2. Step 2: Convert to fraction form
   761.25/1,036.25 = 1,036.25/x
3. Step 3: Cross multiply
   761.25x = 1,036.25 × 1,036.25
4. Step 4: Simplify right side
   761.25x = 1,073,814.06
5. Step 5: Solve for x
   x = 1,073,814.06/761.25
6. Step 6: Final answer
   x = 1,410.59