Finding the Third Proportional to 6,172.50 and 9,941.25

Step by Step Solution

1. Step 1: Write the proportion equation
   6,172.50 : 9,941.25 = 9,941.25 : x
2. Step 2: Convert to fraction form
   6,172.50/9,941.25 = 9,941.25/x
3. Step 3: Cross multiply
   6,172.50x = 9,941.25 × 9,941.25
4. Step 4: Simplify right side
   6,172.50x = 98,828,451.56
5. Step 5: Solve for x
   x = 98,828,451.56/6,172.50
6. Step 6: Final answer
   x = 16,011.09