Finding the Third Proportional to 7,922.81 and 17,258.06

Step by Step Solution

1. Step 1: Write the proportion equation
   7,922.81 : 17,258.06 = 17,258.06 : x
2. Step 2: Convert to fraction form
   7,922.81/17,258.06 = 17,258.06/x
3. Step 3: Cross multiply
   7,922.81x = 17,258.06 × 17,258.06
4. Step 4: Simplify right side
   7,922.81x = 297,840,721.25
5. Step 5: Solve for x
   x = 297,840,721.25/7,922.81
6. Step 6: Final answer
   x = 37,592.80