Finding the Third Proportional to 3,631.50 and 5,588.63

Step by Step Solution

1. Step 1: Write the proportion equation
   3,631.50 : 5,588.63 = 5,588.63 : x
2. Step 2: Convert to fraction form
   3,631.50/5,588.63 = 5,588.63/x
3. Step 3: Cross multiply
   3,631.50x = 5,588.63 × 5,588.63
4. Step 4: Simplify right side
   3,631.50x = 31,232,729.39
5. Step 5: Solve for x
   x = 31,232,729.39/3,631.50
6. Step 6: Final answer
   x = 8,600.50