Finding the Third Proportional to 1,742.06 and 3,678.19

Step by Step Solution

1. Step 1: Write the proportion equation
   1,742.06 : 3,678.19 = 3,678.19 : x
2. Step 2: Convert to fraction form
   1,742.06/3,678.19 = 3,678.19/x
3. Step 3: Cross multiply
   1,742.06x = 3,678.19 × 3,678.19
4. Step 4: Simplify right side
   1,742.06x = 13,529,063.29
5. Step 5: Solve for x
   x = 13,529,063.29/1,742.06
6. Step 6: Final answer
   x = 7,766.12