Finding the Third Proportional to 25,381 and 61,072

Step by Step Solution

1. Step 1: Write the proportion equation
   25,381 : 61,072 = 61,072 : x
2. Step 2: Convert to fraction form
   25,381/61,072 = 61,072/x
3. Step 3: Cross multiply
   25,381x = 61,072 × 61,072
4. Step 4: Simplify right side
   25,381x = 3,729,789,184
5. Step 5: Solve for x
   x = 3,729,789,184/25,381
6. Step 6: Final answer
   x = 146,952.02