Finding the Third Proportional to 25,316 and 58,609

Step by Step Solution

1. Step 1: Write the proportion equation
   25,316 : 58,609 = 58,609 : x
2. Step 2: Convert to fraction form
   25,316/58,609 = 58,609/x
3. Step 3: Cross multiply
   25,316x = 58,609 × 58,609
4. Step 4: Simplify right side
   25,316x = 3,435,014,881
5. Step 5: Solve for x
   x = 3,435,014,881/25,316
6. Step 6: Final answer
   x = 135,685.53