Finding the Third Proportional to 2,374.00 and 3,547.71

Step by Step Solution

1. Step 1: Write the proportion equation
   2,374.00 : 3,547.71 = 3,547.71 : x
2. Step 2: Convert to fraction form
   2,374.00/3,547.71 = 3,547.71/x
3. Step 3: Cross multiply
   2,374.00x = 3,547.71 × 3,547.71
4. Step 4: Simplify right side
   2,374.00x = 12,586,211.32
5. Step 5: Solve for x
   x = 12,586,211.32/2,374.00
6. Step 6: Final answer
   x = 5,301.70