Finding the Third Proportional to 1,085.91 and 1,522.55

Step by Step Solution

1. Step 1: Write the proportion equation
   1,085.91 : 1,522.55 = 1,522.55 : x
2. Step 2: Convert to fraction form
   1,085.91/1,522.55 = 1,522.55/x
3. Step 3: Cross multiply
   1,085.91x = 1,522.55 × 1,522.55
4. Step 4: Simplify right side
   1,085.91x = 2,318,148.99
5. Step 5: Solve for x
   x = 2,318,148.99/1,085.91
6. Step 6: Final answer
   x = 2,134.76