Finding the Third Proportional to 2,402.47 and 3,672.53

Step by Step Solution

1. Step 1: Write the proportion equation
   2,402.47 : 3,672.53 = 3,672.53 : x
2. Step 2: Convert to fraction form
   2,402.47/3,672.53 = 3,672.53/x
3. Step 3: Cross multiply
   2,402.47x = 3,672.53 × 3,672.53
4. Step 4: Simplify right side
   2,402.47x = 13,487,457.09
5. Step 5: Solve for x
   x = 13,487,457.09/2,402.47
6. Step 6: Final answer
   x = 5,613.99