Finding the Third Proportional to 2,354.06 and 3,666.94

Step by Step Solution

1. Step 1: Write the proportion equation
   2,354.06 : 3,666.94 = 3,666.94 : x
2. Step 2: Convert to fraction form
   2,354.06/3,666.94 = 3,666.94/x
3. Step 3: Cross multiply
   2,354.06x = 3,666.94 × 3,666.94
4. Step 4: Simplify right side
   2,354.06x = 13,446,430.63
5. Step 5: Solve for x
   x = 13,446,430.63/2,354.06
6. Step 6: Final answer
   x = 5,712.01