Finding the Third Proportional to 32,092 and 74,984

Step by Step Solution

1. Step 1: Write the proportion equation
   32,092 : 74,984 = 74,984 : x
2. Step 2: Convert to fraction form
   32,092/74,984 = 74,984/x
3. Step 3: Cross multiply
   32,092x = 74,984 × 74,984
4. Step 4: Simplify right side
   32,092x = 5,622,600,256
5. Step 5: Solve for x
   x = 5,622,600,256/32,092
6. Step 6: Final answer
   x = 175,202.55