Finding the Third Proportional to 21,412 and 34,102

Step by Step Solution

1. Step 1: Write the proportion equation
   21,412 : 34,102 = 34,102 : x
2. Step 2: Convert to fraction form
   21,412/34,102 = 34,102/x
3. Step 3: Cross multiply
   21,412x = 34,102 × 34,102
4. Step 4: Simplify right side
   21,412x = 1,162,946,404
5. Step 5: Solve for x
   x = 1,162,946,404/21,412
6. Step 6: Final answer
   x = 54,312.83