Finding the Third Proportional to 2,045 and 4,386.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,045 : 4,386.50 = 4,386.50 : x
2. Step 2: Convert to fraction form
   2,045/4,386.50 = 4,386.50/x
3. Step 3: Cross multiply
   2,045x = 4,386.50 × 4,386.50
4. Step 4: Simplify right side
   2,045x = 19,241,382.25
5. Step 5: Solve for x
   x = 19,241,382.25/2,045
6. Step 6: Final answer
   x = 9,408.99