Finding the Third Proportional to 27,338 and 59,210

Step by Step Solution

1. Step 1: Write the proportion equation
   27,338 : 59,210 = 59,210 : x
2. Step 2: Convert to fraction form
   27,338/59,210 = 59,210/x
3. Step 3: Cross multiply
   27,338x = 59,210 × 59,210
4. Step 4: Simplify right side
   27,338x = 3,505,824,100
5. Step 5: Solve for x
   x = 3,505,824,100/27,338
6. Step 6: Final answer
   x = 128,239.96