Finding the Third Proportional to 1,085.63 and 1,402.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,085.63 : 1,402.31 = 1,402.31 : x
2. Step 2: Convert to fraction form
   1,085.63/1,402.31 = 1,402.31/x
3. Step 3: Cross multiply
   1,085.63x = 1,402.31 × 1,402.31
4. Step 4: Simplify right side
   1,085.63x = 1,966,480.35
5. Step 5: Solve for x
   x = 1,966,480.35/1,085.63
6. Step 6: Final answer
   x = 1,811.38