Finding the Third Proportional to 21,820 and 34,134

Step by Step Solution

1. Step 1: Write the proportion equation
   21,820 : 34,134 = 34,134 : x
2. Step 2: Convert to fraction form
   21,820/34,134 = 34,134/x
3. Step 3: Cross multiply
   21,820x = 34,134 × 34,134
4. Step 4: Simplify right side
   21,820x = 1,165,129,956
5. Step 5: Solve for x
   x = 1,165,129,956/21,820
6. Step 6: Final answer
   x = 53,397.34