Finding the Third Proportional to 1,085.91 and 1,461.80

Step by Step Solution

1. Step 1: Write the proportion equation
   1,085.91 : 1,461.80 = 1,461.80 : x
2. Step 2: Convert to fraction form
   1,085.91/1,461.80 = 1,461.80/x
3. Step 3: Cross multiply
   1,085.91x = 1,461.80 × 1,461.80
4. Step 4: Simplify right side
   1,085.91x = 2,136,850.10
5. Step 5: Solve for x
   x = 2,136,850.10/1,085.91
6. Step 6: Final answer
   x = 1,967.80