Finding the Third Proportional to 17,782 and 38,912

Step by Step Solution

1. Step 1: Write the proportion equation
   17,782 : 38,912 = 38,912 : x
2. Step 2: Convert to fraction form
   17,782/38,912 = 38,912/x
3. Step 3: Cross multiply
   17,782x = 38,912 × 38,912
4. Step 4: Simplify right side
   17,782x = 1,514,143,744
5. Step 5: Solve for x
   x = 1,514,143,744/17,782
6. Step 6: Final answer
   x = 85,150.36