Finding the Third Proportional to 27,648 and 59,600

Step by Step Solution

1. Step 1: Write the proportion equation
   27,648 : 59,600 = 59,600 : x
2. Step 2: Convert to fraction form
   27,648/59,600 = 59,600/x
3. Step 3: Cross multiply
   27,648x = 59,600 × 59,600
4. Step 4: Simplify right side
   27,648x = 3,552,160,000
5. Step 5: Solve for x
   x = 3,552,160,000/27,648
6. Step 6: Final answer
   x = 128,478.01