Finding the Third Proportional to 1,204.31 and 1,535.91

Step by Step Solution

1. Step 1: Write the proportion equation
   1,204.31 : 1,535.91 = 1,535.91 : x
2. Step 2: Convert to fraction form
   1,204.31/1,535.91 = 1,535.91/x
3. Step 3: Cross multiply
   1,204.31x = 1,535.91 × 1,535.91
4. Step 4: Simplify right side
   1,204.31x = 2,359,008.01
5. Step 5: Solve for x
   x = 2,359,008.01/1,204.31
6. Step 6: Final answer
   x = 1,958.80