Finding the Third Proportional to 2,618.02 and 5,646.09

Step by Step Solution

1. Step 1: Write the proportion equation
   2,618.02 : 5,646.09 = 5,646.09 : x
2. Step 2: Convert to fraction form
   2,618.02/5,646.09 = 5,646.09/x
3. Step 3: Cross multiply
   2,618.02x = 5,646.09 × 5,646.09
4. Step 4: Simplify right side
   2,618.02x = 31,878,374.63
5. Step 5: Solve for x
   x = 31,878,374.63/2,618.02
6. Step 6: Final answer
   x = 12,176.54