Finding the Third Proportional to 27,442 and 59,118

Step by Step Solution

1. Step 1: Write the proportion equation
   27,442 : 59,118 = 59,118 : x
2. Step 2: Convert to fraction form
   27,442/59,118 = 59,118/x
3. Step 3: Cross multiply
   27,442x = 59,118 × 59,118
4. Step 4: Simplify right side
   27,442x = 3,494,937,924
5. Step 5: Solve for x
   x = 3,494,937,924/27,442
6. Step 6: Final answer
   x = 127,357.26