Finding the Third Proportional to 1,742.77 and 2,378.15

Step by Step Solution

1. Step 1: Write the proportion equation
   1,742.77 : 2,378.15 = 2,378.15 : x
2. Step 2: Convert to fraction form
   1,742.77/2,378.15 = 2,378.15/x
3. Step 3: Cross multiply
   1,742.77x = 2,378.15 × 2,378.15
4. Step 4: Simplify right side
   1,742.77x = 5,655,592.31
5. Step 5: Solve for x
   x = 5,655,592.31/1,742.77
6. Step 6: Final answer
   x = 3,245.18