Finding the Third Proportional to 1,166.25 and 1,515.94

Step by Step Solution

1. Step 1: Write the proportion equation
   1,166.25 : 1,515.94 = 1,515.94 : x
2. Step 2: Convert to fraction form
   1,166.25/1,515.94 = 1,515.94/x
3. Step 3: Cross multiply
   1,166.25x = 1,515.94 × 1,515.94
4. Step 4: Simplify right side
   1,166.25x = 2,298,066.50
5. Step 5: Solve for x
   x = 2,298,066.50/1,166.25
6. Step 6: Final answer
   x = 1,970.48