Finding the Third Proportional to 3,667.50 and 5,225.63

Step by Step Solution

1. Step 1: Write the proportion equation
   3,667.50 : 5,225.63 = 5,225.63 : x
2. Step 2: Convert to fraction form
   3,667.50/5,225.63 = 5,225.63/x
3. Step 3: Cross multiply
   3,667.50x = 5,225.63 × 5,225.63
4. Step 4: Simplify right side
   3,667.50x = 27,307,156.64
5. Step 5: Solve for x
   x = 27,307,156.64/3,667.50
6. Step 6: Final answer
   x = 7,445.71