Finding the Third Proportional to 1,824.61 and 2,815.17

Step by Step Solution

1. Step 1: Write the proportion equation
   1,824.61 : 2,815.17 = 2,815.17 : x
2. Step 2: Convert to fraction form
   1,824.61/2,815.17 = 2,815.17/x
3. Step 3: Cross multiply
   1,824.61x = 2,815.17 × 2,815.17
4. Step 4: Simplify right side
   1,824.61x = 7,925,192.69
5. Step 5: Solve for x
   x = 7,925,192.69/1,824.61
6. Step 6: Final answer
   x = 4,343.50