Finding the Third Proportional to 1,199.81 and 1,753.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,199.81 : 1,753.31 = 1,753.31 : x
2. Step 2: Convert to fraction form
   1,199.81/1,753.31 = 1,753.31/x
3. Step 3: Cross multiply
   1,199.81x = 1,753.31 × 1,753.31
4. Step 4: Simplify right side
   1,199.81x = 3,074,104.72
5. Step 5: Solve for x
   x = 3,074,104.72/1,199.81
6. Step 6: Final answer
   x = 2,562.15