Finding the Third Proportional to 32,064 and 70,032

Step by Step Solution

1. Step 1: Write the proportion equation
   32,064 : 70,032 = 70,032 : x
2. Step 2: Convert to fraction form
   32,064/70,032 = 70,032/x
3. Step 3: Cross multiply
   32,064x = 70,032 × 70,032
4. Step 4: Simplify right side
   32,064x = 4,904,481,024
5. Step 5: Solve for x
   x = 4,904,481,024/32,064
6. Step 6: Final answer
   x = 152,959.11