Finding the Third Proportional to 1,345.68 and 2,886.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,345.68 : 2,886.02 = 2,886.02 : x
2. Step 2: Convert to fraction form
   1,345.68/2,886.02 = 2,886.02/x
3. Step 3: Cross multiply
   1,345.68x = 2,886.02 × 2,886.02
4. Step 4: Simplify right side
   1,345.68x = 8,329,114.37
5. Step 5: Solve for x
   x = 8,329,114.37/1,345.68
6. Step 6: Final answer
   x = 6,189.54