Finding the Third Proportional to 10,429.50 and 15,638.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,429.50 : 15,638.25 = 15,638.25 : x
2. Step 2: Convert to fraction form
   10,429.50/15,638.25 = 15,638.25/x
3. Step 3: Cross multiply
   10,429.50x = 15,638.25 × 15,638.25
4. Step 4: Simplify right side
   10,429.50x = 244,554,863.06
5. Step 5: Solve for x
   x = 244,554,863.06/10,429.50
6. Step 6: Final answer
   x = 23,448.38