Finding the Third Proportional to 27,634 and 59,588

Step by Step Solution

1. Step 1: Write the proportion equation
   27,634 : 59,588 = 59,588 : x
2. Step 2: Convert to fraction form
   27,634/59,588 = 59,588/x
3. Step 3: Cross multiply
   27,634x = 59,588 × 59,588
4. Step 4: Simplify right side
   27,634x = 3,550,729,744
5. Step 5: Solve for x
   x = 3,550,729,744/27,634
6. Step 6: Final answer
   x = 128,491.34