Finding the Third Proportional to 6,588 and 9,152.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,588 : 9,152.50 = 9,152.50 : x
2. Step 2: Convert to fraction form
   6,588/9,152.50 = 9,152.50/x
3. Step 3: Cross multiply
   6,588x = 9,152.50 × 9,152.50
4. Step 4: Simplify right side
   6,588x = 83,768,256.25
5. Step 5: Solve for x
   x = 83,768,256.25/6,588
6. Step 6: Final answer
   x = 12,715.28