Finding the Third Proportional to 1,085.06 and 1,534.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,085.06 : 1,534.78 = 1,534.78 : x
2. Step 2: Convert to fraction form
   1,085.06/1,534.78 = 1,534.78/x
3. Step 3: Cross multiply
   1,085.06x = 1,534.78 × 1,534.78
4. Step 4: Simplify right side
   1,085.06x = 2,355,553.49
5. Step 5: Solve for x
   x = 2,355,553.49/1,085.06
6. Step 6: Final answer
   x = 2,170.89