Finding the Third Proportional to 3,657 and 5,368.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,657 : 5,368.50 = 5,368.50 : x
2. Step 2: Convert to fraction form
   3,657/5,368.50 = 5,368.50/x
3. Step 3: Cross multiply
   3,657x = 5,368.50 × 5,368.50
4. Step 4: Simplify right side
   3,657x = 28,820,792.25
5. Step 5: Solve for x
   x = 28,820,792.25/3,657
6. Step 6: Final answer
   x = 7,880.99