Finding the Third Proportional to 1,101.66 and 1,510.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,101.66 : 1,510.59 = 1,510.59 : x
2. Step 2: Convert to fraction form
   1,101.66/1,510.59 = 1,510.59/x
3. Step 3: Cross multiply
   1,101.66x = 1,510.59 × 1,510.59
4. Step 4: Simplify right side
   1,101.66x = 2,281,893.48
5. Step 5: Solve for x
   x = 2,281,893.48/1,101.66
6. Step 6: Final answer
   x = 2,071.33