Finding the Third Proportional to 3,674.25 and 7,543.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,674.25 : 7,543.50 = 7,543.50 : x
2. Step 2: Convert to fraction form
   3,674.25/7,543.50 = 7,543.50/x
3. Step 3: Cross multiply
   3,674.25x = 7,543.50 × 7,543.50
4. Step 4: Simplify right side
   3,674.25x = 56,904,392.25
5. Step 5: Solve for x
   x = 56,904,392.25/3,674.25
6. Step 6: Final answer
   x = 15,487.35