Finding the Third Proportional to 5,629.50 and 13,253.63

Step by Step Solution

1. Step 1: Write the proportion equation
   5,629.50 : 13,253.63 = 13,253.63 : x
2. Step 2: Convert to fraction form
   5,629.50/13,253.63 = 13,253.63/x
3. Step 3: Cross multiply
   5,629.50x = 13,253.63 × 13,253.63
4. Step 4: Simplify right side
   5,629.50x = 175,658,575.64
5. Step 5: Solve for x
   x = 175,658,575.64/5,629.50
6. Step 6: Final answer
   x = 31,203.23