Finding the Third Proportional to 32,160 and 42,384

Step by Step Solution

1. Step 1: Write the proportion equation
   32,160 : 42,384 = 42,384 : x
2. Step 2: Convert to fraction form
   32,160/42,384 = 42,384/x
3. Step 3: Cross multiply
   32,160x = 42,384 × 42,384
4. Step 4: Simplify right side
   32,160x = 1,796,403,456
5. Step 5: Solve for x
   x = 1,796,403,456/32,160
6. Step 6: Final answer
   x = 55,858.32