Finding the Third Proportional to 9,022.50 and 13,258.13

Step by Step Solution

1. Step 1: Write the proportion equation
   9,022.50 : 13,258.13 = 13,258.13 : x
2. Step 2: Convert to fraction form
   9,022.50/13,258.13 = 13,258.13/x
3. Step 3: Cross multiply
   9,022.50x = 13,258.13 × 13,258.13
4. Step 4: Simplify right side
   9,022.50x = 175,777,878.52
5. Step 5: Solve for x
   x = 175,777,878.52/9,022.50
6. Step 6: Final answer
   x = 19,482.17