Finding the Third Proportional to 21,506 and 34,243

Step by Step Solution

1. Step 1: Write the proportion equation
   21,506 : 34,243 = 34,243 : x
2. Step 2: Convert to fraction form
   21,506/34,243 = 34,243/x
3. Step 3: Cross multiply
   21,506x = 34,243 × 34,243
4. Step 4: Simplify right side
   21,506x = 1,172,583,049
5. Step 5: Solve for x
   x = 1,172,583,049/21,506
6. Step 6: Final answer
   x = 54,523.53