Finding the Third Proportional to 1,825.06 and 3,779.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,825.06 : 3,779.69 = 3,779.69 : x
2. Step 2: Convert to fraction form
   1,825.06/3,779.69 = 3,779.69/x
3. Step 3: Cross multiply
   1,825.06x = 3,779.69 × 3,779.69
4. Step 4: Simplify right side
   1,825.06x = 14,286,037.60
5. Step 5: Solve for x
   x = 14,286,037.60/1,825.06
6. Step 6: Final answer
   x = 7,827.70