Finding the Third Proportional to 27,396 and 59,139

Step by Step Solution

1. Step 1: Write the proportion equation
   27,396 : 59,139 = 59,139 : x
2. Step 2: Convert to fraction form
   27,396/59,139 = 59,139/x
3. Step 3: Cross multiply
   27,396x = 59,139 × 59,139
4. Step 4: Simplify right side
   27,396x = 3,497,421,321
5. Step 5: Solve for x
   x = 3,497,421,321/27,396
6. Step 6: Final answer
   x = 127,661.75