Finding the Third Proportional to 2,645.47 and 5,810.64

Step by Step Solution

1. Step 1: Write the proportion equation
   2,645.47 : 5,810.64 = 5,810.64 : x
2. Step 2: Convert to fraction form
   2,645.47/5,810.64 = 5,810.64/x
3. Step 3: Cross multiply
   2,645.47x = 5,810.64 × 5,810.64
4. Step 4: Simplify right side
   2,645.47x = 33,763,567.17
5. Step 5: Solve for x
   x = 33,763,567.17/2,645.47
6. Step 6: Final answer
   x = 12,762.77