Finding the Third Proportional to 1,138 and 1,751.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,138 : 1,751.69 = 1,751.69 : x
2. Step 2: Convert to fraction form
   1,138/1,751.69 = 1,751.69/x
3. Step 3: Cross multiply
   1,138x = 1,751.69 × 1,751.69
4. Step 4: Simplify right side
   1,138x = 3,068,409.10
5. Step 5: Solve for x
   x = 3,068,409.10/1,138
6. Step 6: Final answer
   x = 2,696.32