Finding the Third Proportional to 21,820 and 34,606

Step by Step Solution

1. Step 1: Write the proportion equation
   21,820 : 34,606 = 34,606 : x
2. Step 2: Convert to fraction form
   21,820/34,606 = 34,606/x
3. Step 3: Cross multiply
   21,820x = 34,606 × 34,606
4. Step 4: Simplify right side
   21,820x = 1,197,575,236
5. Step 5: Solve for x
   x = 1,197,575,236/21,820
6. Step 6: Final answer
   x = 54,884.29