Finding the Third Proportional to 4,588.88 and 7,293.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,588.88 : 7,293.50 = 7,293.50 : x
2. Step 2: Convert to fraction form
   4,588.88/7,293.50 = 7,293.50/x
3. Step 3: Cross multiply
   4,588.88x = 7,293.50 × 7,293.50
4. Step 4: Simplify right side
   4,588.88x = 53,195,142.25
5. Step 5: Solve for x
   x = 53,195,142.25/4,588.88
6. Step 6: Final answer
   x = 11,592.20