Finding the Third Proportional to 1,153.75 and 1,742.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,153.75 : 1,742.63 = 1,742.63 : x
2. Step 2: Convert to fraction form
   1,153.75/1,742.63 = 1,742.63/x
3. Step 3: Cross multiply
   1,153.75x = 1,742.63 × 1,742.63
4. Step 4: Simplify right side
   1,153.75x = 3,036,741.89
5. Step 5: Solve for x
   x = 3,036,741.89/1,153.75
6. Step 6: Final answer
   x = 2,632.06