Finding the Third Proportional to 2,899.13 and 4,676.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,899.13 : 4,676.06 = 4,676.06 : x
2. Step 2: Convert to fraction form
   2,899.13/4,676.06 = 4,676.06/x
3. Step 3: Cross multiply
   2,899.13x = 4,676.06 × 4,676.06
4. Step 4: Simplify right side
   2,899.13x = 21,865,560.50
5. Step 5: Solve for x
   x = 21,865,560.50/2,899.13
6. Step 6: Final answer
   x = 7,542.12