Finding the Third Proportional to 10,602 and 22,658

Step by Step Solution

1. Step 1: Write the proportion equation
   10,602 : 22,658 = 22,658 : x
2. Step 2: Convert to fraction form
   10,602/22,658 = 22,658/x
3. Step 3: Cross multiply
   10,602x = 22,658 × 22,658
4. Step 4: Simplify right side
   10,602x = 513,384,964
5. Step 5: Solve for x
   x = 513,384,964/10,602
6. Step 6: Final answer
   x = 48,423.41