Finding the Third Proportional to 3,733 and 5,547.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,733 : 5,547.50 = 5,547.50 : x
2. Step 2: Convert to fraction form
   3,733/5,547.50 = 5,547.50/x
3. Step 3: Cross multiply
   3,733x = 5,547.50 × 5,547.50
4. Step 4: Simplify right side
   3,733x = 30,774,756.25
5. Step 5: Solve for x
   x = 30,774,756.25/3,733
6. Step 6: Final answer
   x = 8,243.97