Finding the Third Proportional to 1,533.38 and 2,429.13

Step by Step Solution

1. Step 1: Write the proportion equation
   1,533.38 : 2,429.13 = 2,429.13 : x
2. Step 2: Convert to fraction form
   1,533.38/2,429.13 = 2,429.13/x
3. Step 3: Cross multiply
   1,533.38x = 2,429.13 × 2,429.13
4. Step 4: Simplify right side
   1,533.38x = 5,900,648.27
5. Step 5: Solve for x
   x = 5,900,648.27/1,533.38
6. Step 6: Final answer
   x = 3,848.14