Finding the Third Proportional to 27,440 and 59,152

Step by Step Solution

1. Step 1: Write the proportion equation
   27,440 : 59,152 = 59,152 : x
2. Step 2: Convert to fraction form
   27,440/59,152 = 59,152/x
3. Step 3: Cross multiply
   27,440x = 59,152 × 59,152
4. Step 4: Simplify right side
   27,440x = 3,498,959,104
5. Step 5: Solve for x
   x = 3,498,959,104/27,440
6. Step 6: Final answer
   x = 127,513.09