Finding the Third Proportional to 15,724 and 23,788

Step by Step Solution

1. Step 1: Write the proportion equation
   15,724 : 23,788 = 23,788 : x
2. Step 2: Convert to fraction form
   15,724/23,788 = 23,788/x
3. Step 3: Cross multiply
   15,724x = 23,788 × 23,788
4. Step 4: Simplify right side
   15,724x = 565,868,944
5. Step 5: Solve for x
   x = 565,868,944/15,724
6. Step 6: Final answer
   x = 35,987.60