Finding the Third Proportional to 1,547.86 and 2,426.20

Step by Step Solution

1. Step 1: Write the proportion equation
   1,547.86 : 2,426.20 = 2,426.20 : x
2. Step 2: Convert to fraction form
   1,547.86/2,426.20 = 2,426.20/x
3. Step 3: Cross multiply
   1,547.86x = 2,426.20 × 2,426.20
4. Step 4: Simplify right side
   1,547.86x = 5,886,461.60
5. Step 5: Solve for x
   x = 5,886,461.60/1,547.86
6. Step 6: Final answer
   x = 3,802.97