Finding the Third Proportional to 10,091.25 and 22,106.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,091.25 : 22,106.25 = 22,106.25 : x
2. Step 2: Convert to fraction form
   10,091.25/22,106.25 = 22,106.25/x
3. Step 3: Cross multiply
   10,091.25x = 22,106.25 × 22,106.25
4. Step 4: Simplify right side
   10,091.25x = 488,686,289.06
5. Step 5: Solve for x
   x = 488,686,289.06/10,091.25
6. Step 6: Final answer
   x = 48,426.73