Finding the Third Proportional to 1,653.93 and 3,547.71

Step by Step Solution

1. Step 1: Write the proportion equation
   1,653.93 : 3,547.71 = 3,547.71 : x
2. Step 2: Convert to fraction form
   1,653.93/3,547.71 = 3,547.71/x
3. Step 3: Cross multiply
   1,653.93x = 3,547.71 × 3,547.71
4. Step 4: Simplify right side
   1,653.93x = 12,586,211.32
5. Step 5: Solve for x
   x = 12,586,211.32/1,653.93
6. Step 6: Final answer
   x = 7,609.86