Finding the Third Proportional to 10,005 and 13,627.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,005 : 13,627.50 = 13,627.50 : x
2. Step 2: Convert to fraction form
   10,005/13,627.50 = 13,627.50/x
3. Step 3: Cross multiply
   10,005x = 13,627.50 × 13,627.50
4. Step 4: Simplify right side
   10,005x = 185,708,756.25
5. Step 5: Solve for x
   x = 185,708,756.25/10,005
6. Step 6: Final answer
   x = 18,561.59