Finding the Third Proportional to 21,472 and 33,178

Step by Step Solution

1. Step 1: Write the proportion equation
   21,472 : 33,178 = 33,178 : x
2. Step 2: Convert to fraction form
   21,472/33,178 = 33,178/x
3. Step 3: Cross multiply
   21,472x = 33,178 × 33,178
4. Step 4: Simplify right side
   21,472x = 1,100,779,684
5. Step 5: Solve for x
   x = 1,100,779,684/21,472
6. Step 6: Final answer
   x = 51,265.82