Finding the Third Proportional to 2,566.69 and 3,812.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,566.69 : 3,812.06 = 3,812.06 : x
2. Step 2: Convert to fraction form
   2,566.69/3,812.06 = 3,812.06/x
3. Step 3: Cross multiply
   2,566.69x = 3,812.06 × 3,812.06
4. Step 4: Simplify right side
   2,566.69x = 14,531,820.50
5. Step 5: Solve for x
   x = 14,531,820.50/2,566.69
6. Step 6: Final answer
   x = 5,661.70