Finding the Third Proportional to 25,186 and 58,825

Step by Step Solution

1. Step 1: Write the proportion equation
   25,186 : 58,825 = 58,825 : x
2. Step 2: Convert to fraction form
   25,186/58,825 = 58,825/x
3. Step 3: Cross multiply
   25,186x = 58,825 × 58,825
4. Step 4: Simplify right side
   25,186x = 3,460,380,625
5. Step 5: Solve for x
   x = 3,460,380,625/25,186
6. Step 6: Final answer
   x = 137,393.02