Finding the Third Proportional to 32,064 and 42,168

Step by Step Solution

1. Step 1: Write the proportion equation
   32,064 : 42,168 = 42,168 : x
2. Step 2: Convert to fraction form
   32,064/42,168 = 42,168/x
3. Step 3: Cross multiply
   32,064x = 42,168 × 42,168
4. Step 4: Simplify right side
   32,064x = 1,778,140,224
5. Step 5: Solve for x
   x = 1,778,140,224/32,064
6. Step 6: Final answer
   x = 55,455.97