Finding the Third Proportional to 9,720 and 22,448.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,720 : 22,448.50 = 22,448.50 : x
2. Step 2: Convert to fraction form
   9,720/22,448.50 = 22,448.50/x
3. Step 3: Cross multiply
   9,720x = 22,448.50 × 22,448.50
4. Step 4: Simplify right side
   9,720x = 503,935,152.25
5. Step 5: Solve for x
   x = 503,935,152.25/9,720
6. Step 6: Final answer
   x = 51,845.18