Finding the Third Proportional to 1,015.31 and 1,166.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,015.31 : 1,166.06 = 1,166.06 : x
2. Step 2: Convert to fraction form
   1,015.31/1,166.06 = 1,166.06/x
3. Step 3: Cross multiply
   1,015.31x = 1,166.06 × 1,166.06
4. Step 4: Simplify right side
   1,015.31x = 1,359,701.75
5. Step 5: Solve for x
   x = 1,359,701.75/1,015.31
6. Step 6: Final answer
   x = 1,339.20