Finding the Third Proportional to 25,908 and 38,314.75

Step by Step Solution

1. Step 1: Write the proportion equation
   25,908 : 38,314.75 = 38,314.75 : x
2. Step 2: Convert to fraction form
   25,908/38,314.75 = 38,314.75/x
3. Step 3: Cross multiply
   25,908x = 38,314.75 × 38,314.75
4. Step 4: Simplify right side
   25,908x = 1,468,020,067.56
5. Step 5: Solve for x
   x = 1,468,020,067.56/25,908
6. Step 6: Final answer
   x = 56,662.81