Finding the Third Proportional to 27,644 and 59,608

Step by Step Solution

1. Step 1: Write the proportion equation
   27,644 : 59,608 = 59,608 : x
2. Step 2: Convert to fraction form
   27,644/59,608 = 59,608/x
3. Step 3: Cross multiply
   27,644x = 59,608 × 59,608
4. Step 4: Simplify right side
   27,644x = 3,553,113,664
5. Step 5: Solve for x
   x = 3,553,113,664/27,644
6. Step 6: Final answer
   x = 128,531.10