Finding the Third Proportional to 10,594 and 25,009

Step by Step Solution

1. Step 1: Write the proportion equation
   10,594 : 25,009 = 25,009 : x
2. Step 2: Convert to fraction form
   10,594/25,009 = 25,009/x
3. Step 3: Cross multiply
   10,594x = 25,009 × 25,009
4. Step 4: Simplify right side
   10,594x = 625,450,081
5. Step 5: Solve for x
   x = 625,450,081/10,594
6. Step 6: Final answer
   x = 59,038.14