Finding the Third Proportional to 1,364.13 and 2,085.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,364.13 : 2,085.88 = 2,085.88 : x
2. Step 2: Convert to fraction form
   1,364.13/2,085.88 = 2,085.88/x
3. Step 3: Cross multiply
   1,364.13x = 2,085.88 × 2,085.88
4. Step 4: Simplify right side
   1,364.13x = 4,350,874.52
5. Step 5: Solve for x
   x = 4,350,874.52/1,364.13
6. Step 6: Final answer
   x = 3,189.50