Finding the Third Proportional to 1,353.52 and 1,824.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,353.52 : 1,824.82 = 1,824.82 : x
2. Step 2: Convert to fraction form
   1,353.52/1,824.82 = 1,824.82/x
3. Step 3: Cross multiply
   1,353.52x = 1,824.82 × 1,824.82
4. Step 4: Simplify right side
   1,353.52x = 3,329,969.17
5. Step 5: Solve for x
   x = 3,329,969.17/1,353.52
6. Step 6: Final answer
   x = 2,460.24