Finding the Third Proportional to 10,062 and 21,658

Step by Step Solution

1. Step 1: Write the proportion equation
   10,062 : 21,658 = 21,658 : x
2. Step 2: Convert to fraction form
   10,062/21,658 = 21,658/x
3. Step 3: Cross multiply
   10,062x = 21,658 × 21,658
4. Step 4: Simplify right side
   10,062x = 469,068,964
5. Step 5: Solve for x
   x = 469,068,964/10,062
6. Step 6: Final answer
   x = 46,617.87