Finding the Third Proportional to 27,634 and 59,172

Step by Step Solution

1. Step 1: Write the proportion equation
   27,634 : 59,172 = 59,172 : x
2. Step 2: Convert to fraction form
   27,634/59,172 = 59,172/x
3. Step 3: Cross multiply
   27,634x = 59,172 × 59,172
4. Step 4: Simplify right side
   27,634x = 3,501,325,584
5. Step 5: Solve for x
   x = 3,501,325,584/27,634
6. Step 6: Final answer
   x = 126,703.54