Finding the Third Proportional to 21,932 and 34,178

Step by Step Solution

1. Step 1: Write the proportion equation
   21,932 : 34,178 = 34,178 : x
2. Step 2: Convert to fraction form
   21,932/34,178 = 34,178/x
3. Step 3: Cross multiply
   21,932x = 34,178 × 34,178
4. Step 4: Simplify right side
   21,932x = 1,168,135,684
5. Step 5: Solve for x
   x = 1,168,135,684/21,932
6. Step 6: Final answer
   x = 53,261.70