Finding the Third Proportional to 1,852.88 and 2,872.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,852.88 : 2,872.69 = 2,872.69 : x
2. Step 2: Convert to fraction form
   1,852.88/2,872.69 = 2,872.69/x
3. Step 3: Cross multiply
   1,852.88x = 2,872.69 × 2,872.69
4. Step 4: Simplify right side
   1,852.88x = 8,252,333.47
5. Step 5: Solve for x
   x = 8,252,333.47/1,852.88
6. Step 6: Final answer
   x = 4,453.80