Finding the Third Proportional to 32,564 and 69,736

Step by Step Solution

1. Step 1: Write the proportion equation
   32,564 : 69,736 = 69,736 : x
2. Step 2: Convert to fraction form
   32,564/69,736 = 69,736/x
3. Step 3: Cross multiply
   32,564x = 69,736 × 69,736
4. Step 4: Simplify right side
   32,564x = 4,863,109,696
5. Step 5: Solve for x
   x = 4,863,109,696/32,564
6. Step 6: Final answer
   x = 149,340.06