Finding the Third Proportional to 32,914 and 72,013

Step by Step Solution

1. Step 1: Write the proportion equation
   32,914 : 72,013 = 72,013 : x
2. Step 2: Convert to fraction form
   32,914/72,013 = 72,013/x
3. Step 3: Cross multiply
   32,914x = 72,013 × 72,013
4. Step 4: Simplify right side
   32,914x = 5,185,872,169
5. Step 5: Solve for x
   x = 5,185,872,169/32,914
6. Step 6: Final answer
   x = 157,558.25