Finding the Third Proportional to 1,742.53 and 2,699.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,742.53 : 2,699.10 = 2,699.10 : x
2. Step 2: Convert to fraction form
   1,742.53/2,699.10 = 2,699.10/x
3. Step 3: Cross multiply
   1,742.53x = 2,699.10 × 2,699.10
4. Step 4: Simplify right side
   1,742.53x = 7,285,159.79
5. Step 5: Solve for x
   x = 7,285,159.79/1,742.53
6. Step 6: Final answer
   x = 4,180.80