Finding the Third Proportional to 1,166.50 and 2,426

Step by Step Solution

1. Step 1: Write the proportion equation
   1,166.50 : 2,426 = 2,426 : x
2. Step 2: Convert to fraction form
   1,166.50/2,426 = 2,426/x
3. Step 3: Cross multiply
   1,166.50x = 2,426 × 2,426
4. Step 4: Simplify right side
   1,166.50x = 5,885,476
5. Step 5: Solve for x
   x = 5,885,476/1,166.50
6. Step 6: Final answer
   x = 5,045.41