Finding the Third Proportional to 32,064 and 70,029

Step by Step Solution

1. Step 1: Write the proportion equation
   32,064 : 70,029 = 70,029 : x
2. Step 2: Convert to fraction form
   32,064/70,029 = 70,029/x
3. Step 3: Cross multiply
   32,064x = 70,029 × 70,029
4. Step 4: Simplify right side
   32,064x = 4,904,060,841
5. Step 5: Solve for x
   x = 4,904,060,841/32,064
6. Step 6: Final answer
   x = 152,946.01