Finding the Third Proportional to 25,738.17 and 38,381.77

Step by Step Solution

1. Step 1: Write the proportion equation
   25,738.17 : 38,381.77 = 38,381.77 : x
2. Step 2: Convert to fraction form
   25,738.17/38,381.77 = 38,381.77/x
3. Step 3: Cross multiply
   25,738.17x = 38,381.77 × 38,381.77
4. Step 4: Simplify right side
   25,738.17x = 1,473,159,932.49
5. Step 5: Solve for x
   x = 1,473,159,932.49/25,738.17
6. Step 6: Final answer
   x = 57,236.39