Finding the Third Proportional to 1,312.50 and 1,882.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,312.50 : 1,882.69 = 1,882.69 : x
2. Step 2: Convert to fraction form
   1,312.50/1,882.69 = 1,882.69/x
3. Step 3: Cross multiply
   1,312.50x = 1,882.69 × 1,882.69
4. Step 4: Simplify right side
   1,312.50x = 3,544,512.22
5. Step 5: Solve for x
   x = 3,544,512.22/1,312.50
6. Step 6: Final answer
   x = 2,700.58