Finding the Third Proportional to 15,105 and 32,641

Step by Step Solution

1. Step 1: Write the proportion equation
   15,105 : 32,641 = 32,641 : x
2. Step 2: Convert to fraction form
   15,105/32,641 = 32,641/x
3. Step 3: Cross multiply
   15,105x = 32,641 × 32,641
4. Step 4: Simplify right side
   15,105x = 1,065,434,881
5. Step 5: Solve for x
   x = 1,065,434,881/15,105
6. Step 6: Final answer
   x = 70,535.25