Finding the Third Proportional to 10,188 and 22,205.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,188 : 22,205.25 = 22,205.25 : x
2. Step 2: Convert to fraction form
   10,188/22,205.25 = 22,205.25/x
3. Step 3: Cross multiply
   10,188x = 22,205.25 × 22,205.25
4. Step 4: Simplify right side
   10,188x = 493,073,127.56
5. Step 5: Solve for x
   x = 493,073,127.56/10,188
6. Step 6: Final answer
   x = 48,397.44