Finding the Third Proportional to 4,753.25 and 10,172.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,753.25 : 10,172.50 = 10,172.50 : x
2. Step 2: Convert to fraction form
   4,753.25/10,172.50 = 10,172.50/x
3. Step 3: Cross multiply
   4,753.25x = 10,172.50 × 10,172.50
4. Step 4: Simplify right side
   4,753.25x = 103,479,756.25
5. Step 5: Solve for x
   x = 103,479,756.25/4,753.25
6. Step 6: Final answer
   x = 21,770.32