Finding the Third Proportional to 27,440 and 59,168

Step by Step Solution

1. Step 1: Write the proportion equation
   27,440 : 59,168 = 59,168 : x
2. Step 2: Convert to fraction form
   27,440/59,168 = 59,168/x
3. Step 3: Cross multiply
   27,440x = 59,168 × 59,168
4. Step 4: Simplify right side
   27,440x = 3,500,852,224
5. Step 5: Solve for x
   x = 3,500,852,224/27,440
6. Step 6: Final answer
   x = 127,582.08