Finding the Third Proportional to 3,937.50 and 9,722.25

Step by Step Solution

1. Step 1: Write the proportion equation
   3,937.50 : 9,722.25 = 9,722.25 : x
2. Step 2: Convert to fraction form
   3,937.50/9,722.25 = 9,722.25/x
3. Step 3: Cross multiply
   3,937.50x = 9,722.25 × 9,722.25
4. Step 4: Simplify right side
   3,937.50x = 94,522,145.06
5. Step 5: Solve for x
   x = 94,522,145.06/3,937.50
6. Step 6: Final answer
   x = 24,005.62