Finding the Third Proportional to 25,189 and 37,788

Step by Step Solution

1. Step 1: Write the proportion equation
   25,189 : 37,788 = 37,788 : x
2. Step 2: Convert to fraction form
   25,189/37,788 = 37,788/x
3. Step 3: Cross multiply
   25,189x = 37,788 × 37,788
4. Step 4: Simplify right side
   25,189x = 1,427,932,944
5. Step 5: Solve for x
   x = 1,427,932,944/25,189
6. Step 6: Final answer
   x = 56,688.75