Finding the Third Proportional to 10,917 and 22,538.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,917 : 22,538.25 = 22,538.25 : x
2. Step 2: Convert to fraction form
   10,917/22,538.25 = 22,538.25/x
3. Step 3: Cross multiply
   10,917x = 22,538.25 × 22,538.25
4. Step 4: Simplify right side
   10,917x = 507,972,713.06
5. Step 5: Solve for x
   x = 507,972,713.06/10,917
6. Step 6: Final answer
   x = 46,530.43