Finding the Third Proportional to 27,109 and 59,320

Step by Step Solution

1. Step 1: Write the proportion equation
   27,109 : 59,320 = 59,320 : x
2. Step 2: Convert to fraction form
   27,109/59,320 = 59,320/x
3. Step 3: Cross multiply
   27,109x = 59,320 × 59,320
4. Step 4: Simplify right side
   27,109x = 3,518,862,400
5. Step 5: Solve for x
   x = 3,518,862,400/27,109
6. Step 6: Final answer
   x = 129,804.21