Finding the Third Proportional to 9,627.50 and 14,106.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,627.50 : 14,106.50 = 14,106.50 : x
2. Step 2: Convert to fraction form
   9,627.50/14,106.50 = 14,106.50/x
3. Step 3: Cross multiply
   9,627.50x = 14,106.50 × 14,106.50
4. Step 4: Simplify right side
   9,627.50x = 198,993,342.25
5. Step 5: Solve for x
   x = 198,993,342.25/9,627.50
6. Step 6: Final answer
   x = 20,669.26