Finding the Third Proportional to 32,946 and 72,462

Step by Step Solution

1. Step 1: Write the proportion equation
   32,946 : 72,462 = 72,462 : x
2. Step 2: Convert to fraction form
   32,946/72,462 = 72,462/x
3. Step 3: Cross multiply
   32,946x = 72,462 × 72,462
4. Step 4: Simplify right side
   32,946x = 5,250,741,444
5. Step 5: Solve for x
   x = 5,250,741,444/32,946
6. Step 6: Final answer
   x = 159,374.17