Finding the Third Proportional to 32,938 and 72,122

Step by Step Solution

1. Step 1: Write the proportion equation
   32,938 : 72,122 = 72,122 : x
2. Step 2: Convert to fraction form
   32,938/72,122 = 72,122/x
3. Step 3: Cross multiply
   32,938x = 72,122 × 72,122
4. Step 4: Simplify right side
   32,938x = 5,201,582,884
5. Step 5: Solve for x
   x = 5,201,582,884/32,938
6. Step 6: Final answer
   x = 157,920.42