Finding the Third Proportional to 1,125.14 and 1,780.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,125.14 : 1,780.10 = 1,780.10 : x
2. Step 2: Convert to fraction form
   1,125.14/1,780.10 = 1,780.10/x
3. Step 3: Cross multiply
   1,125.14x = 1,780.10 × 1,780.10
4. Step 4: Simplify right side
   1,125.14x = 3,168,761.57
5. Step 5: Solve for x
   x = 3,168,761.57/1,125.14
6. Step 6: Final answer
   x = 2,816.32