Finding the Third Proportional to 14,106 and 30,641

Step by Step Solution

1. Step 1: Write the proportion equation
   14,106 : 30,641 = 30,641 : x
2. Step 2: Convert to fraction form
   14,106/30,641 = 30,641/x
3. Step 3: Cross multiply
   14,106x = 30,641 × 30,641
4. Step 4: Simplify right side
   14,106x = 938,870,881
5. Step 5: Solve for x
   x = 938,870,881/14,106
6. Step 6: Final answer
   x = 66,558.26