Finding the Third Proportional to 27,584 and 59,072

Step by Step Solution

1. Step 1: Write the proportion equation
   27,584 : 59,072 = 59,072 : x
2. Step 2: Convert to fraction form
   27,584/59,072 = 59,072/x
3. Step 3: Cross multiply
   27,584x = 59,072 × 59,072
4. Step 4: Simplify right side
   27,584x = 3,489,501,184
5. Step 5: Solve for x
   x = 3,489,501,184/27,584
6. Step 6: Final answer
   x = 126,504.54