Finding the Third Proportional to 16,258 and 22,431

Step by Step Solution

1. Step 1: Write the proportion equation
   16,258 : 22,431 = 22,431 : x
2. Step 2: Convert to fraction form
   16,258/22,431 = 22,431/x
3. Step 3: Cross multiply
   16,258x = 22,431 × 22,431
4. Step 4: Simplify right side
   16,258x = 503,149,761
5. Step 5: Solve for x
   x = 503,149,761/16,258
6. Step 6: Final answer
   x = 30,947.83