Finding the Third Proportional to 27,842 and 59,732

Step by Step Solution

1. Step 1: Write the proportion equation
   27,842 : 59,732 = 59,732 : x
2. Step 2: Convert to fraction form
   27,842/59,732 = 59,732/x
3. Step 3: Cross multiply
   27,842x = 59,732 × 59,732
4. Step 4: Simplify right side
   27,842x = 3,567,911,824
5. Step 5: Solve for x
   x = 3,567,911,824/27,842
6. Step 6: Final answer
   x = 128,148.55