Finding the Third Proportional to 25,796 and 60,584

Step by Step Solution

1. Step 1: Write the proportion equation
   25,796 : 60,584 = 60,584 : x
2. Step 2: Convert to fraction form
   25,796/60,584 = 60,584/x
3. Step 3: Cross multiply
   25,796x = 60,584 × 60,584
4. Step 4: Simplify right side
   25,796x = 3,670,421,056
5. Step 5: Solve for x
   x = 3,670,421,056/25,796
6. Step 6: Final answer
   x = 142,286.44