Finding the Third Proportional to 33,584 and 70,617

Step by Step Solution

1. Step 1: Write the proportion equation
   33,584 : 70,617 = 70,617 : x
2. Step 2: Convert to fraction form
   33,584/70,617 = 70,617/x
3. Step 3: Cross multiply
   33,584x = 70,617 × 70,617
4. Step 4: Simplify right side
   33,584x = 4,986,760,689
5. Step 5: Solve for x
   x = 4,986,760,689/33,584
6. Step 6: Final answer
   x = 148,486.20