Finding the Third Proportional to 32,942 and 72,446

Step by Step Solution

1. Step 1: Write the proportion equation
   32,942 : 72,446 = 72,446 : x
2. Step 2: Convert to fraction form
   32,942/72,446 = 72,446/x
3. Step 3: Cross multiply
   32,942x = 72,446 × 72,446
4. Step 4: Simplify right side
   32,942x = 5,248,422,916
5. Step 5: Solve for x
   x = 5,248,422,916/32,942
6. Step 6: Final answer
   x = 159,323.14