Finding the Third Proportional to 7,587 and 10,180.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,587 : 10,180.50 = 10,180.50 : x
2. Step 2: Convert to fraction form
   7,587/10,180.50 = 10,180.50/x
3. Step 3: Cross multiply
   7,587x = 10,180.50 × 10,180.50
4. Step 4: Simplify right side
   7,587x = 103,642,580.25
5. Step 5: Solve for x
   x = 103,642,580.25/7,587
6. Step 6: Final answer
   x = 13,660.55