Finding the Third Proportional to 25,970 and 37,009

Step by Step Solution

1. Step 1: Write the proportion equation
   25,970 : 37,009 = 37,009 : x
2. Step 2: Convert to fraction form
   25,970/37,009 = 37,009/x
3. Step 3: Cross multiply
   25,970x = 37,009 × 37,009
4. Step 4: Simplify right side
   25,970x = 1,369,666,081
5. Step 5: Solve for x
   x = 1,369,666,081/25,970
6. Step 6: Final answer
   x = 52,740.32