Finding the Third Proportional to 34,272 and 71,984

Step by Step Solution

1. Step 1: Write the proportion equation
   34,272 : 71,984 = 71,984 : x
2. Step 2: Convert to fraction form
   34,272/71,984 = 71,984/x
3. Step 3: Cross multiply
   34,272x = 71,984 × 71,984
4. Step 4: Simplify right side
   34,272x = 5,181,696,256
5. Step 5: Solve for x
   x = 5,181,696,256/34,272
6. Step 6: Final answer
   x = 151,193.28