Finding the Third Proportional to 1,005 and 2,368.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,005 : 2,368.50 = 2,368.50 : x
2. Step 2: Convert to fraction form
   1,005/2,368.50 = 2,368.50/x
3. Step 3: Cross multiply
   1,005x = 2,368.50 × 2,368.50
4. Step 4: Simplify right side
   1,005x = 5,609,792.25
5. Step 5: Solve for x
   x = 5,609,792.25/1,005
6. Step 6: Final answer
   x = 5,581.88