Finding the Third Proportional to 11,372 and 23,788

Step by Step Solution

1. Step 1: Write the proportion equation
   11,372 : 23,788 = 23,788 : x
2. Step 2: Convert to fraction form
   11,372/23,788 = 23,788/x
3. Step 3: Cross multiply
   11,372x = 23,788 × 23,788
4. Step 4: Simplify right side
   11,372x = 565,868,944
5. Step 5: Solve for x
   x = 565,868,944/11,372
6. Step 6: Final answer
   x = 49,759.84