Finding the Third Proportional to 2,547.56 and 3,870.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,547.56 : 3,870.56 = 3,870.56 : x
2. Step 2: Convert to fraction form
   2,547.56/3,870.56 = 3,870.56/x
3. Step 3: Cross multiply
   2,547.56x = 3,870.56 × 3,870.56
4. Step 4: Simplify right side
   2,547.56x = 14,981,254.07
5. Step 5: Solve for x
   x = 14,981,254.07/2,547.56
6. Step 6: Final answer
   x = 5,880.62