Finding the Third Proportional to 1,186.40 and 1,826.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,186.40 : 1,826.06 = 1,826.06 : x
2. Step 2: Convert to fraction form
   1,186.40/1,826.06 = 1,826.06/x
3. Step 3: Cross multiply
   1,186.40x = 1,826.06 × 1,826.06
4. Step 4: Simplify right side
   1,186.40x = 3,334,493.55
5. Step 5: Solve for x
   x = 3,334,493.55/1,186.40
6. Step 6: Final answer
   x = 2,810.59