Finding the Third Proportional to 1,225.13 and 1,853.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,225.13 : 1,853.30 = 1,853.30 : x
2. Step 2: Convert to fraction form
   1,225.13/1,853.30 = 1,853.30/x
3. Step 3: Cross multiply
   1,225.13x = 1,853.30 × 1,853.30
4. Step 4: Simplify right side
   1,225.13x = 3,434,709.31
5. Step 5: Solve for x
   x = 3,434,709.31/1,225.13
6. Step 6: Final answer
   x = 2,803.56