Finding the Third Proportional to 25,644 and 37,458

Step by Step Solution

1. Step 1: Write the proportion equation
   25,644 : 37,458 = 37,458 : x
2. Step 2: Convert to fraction form
   25,644/37,458 = 37,458/x
3. Step 3: Cross multiply
   25,644x = 37,458 × 37,458
4. Step 4: Simplify right side
   25,644x = 1,403,101,764
5. Step 5: Solve for x
   x = 1,403,101,764/25,644
6. Step 6: Final answer
   x = 54,714.62