Finding the Third Proportional to 1,848.09 and 2,599.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,848.09 : 2,599.31 = 2,599.31 : x
2. Step 2: Convert to fraction form
   1,848.09/2,599.31 = 2,599.31/x
3. Step 3: Cross multiply
   1,848.09x = 2,599.31 × 2,599.31
4. Step 4: Simplify right side
   1,848.09x = 6,756,425.47
5. Step 5: Solve for x
   x = 6,756,425.47/1,848.09
6. Step 6: Final answer
   x = 3,655.89