Finding the Third Proportional to 9,109.50 and 19,922.25

Step by Step Solution

1. Step 1: Write the proportion equation
   9,109.50 : 19,922.25 = 19,922.25 : x
2. Step 2: Convert to fraction form
   9,109.50/19,922.25 = 19,922.25/x
3. Step 3: Cross multiply
   9,109.50x = 19,922.25 × 19,922.25
4. Step 4: Simplify right side
   9,109.50x = 396,896,045.06
5. Step 5: Solve for x
   x = 396,896,045.06/9,109.50
6. Step 6: Final answer
   x = 43,569.47