Finding the Third Proportional to 33,685 and 52,688

Step by Step Solution

1. Step 1: Write the proportion equation
   33,685 : 52,688 = 52,688 : x
2. Step 2: Convert to fraction form
   33,685/52,688 = 52,688/x
3. Step 3: Cross multiply
   33,685x = 52,688 × 52,688
4. Step 4: Simplify right side
   33,685x = 2,776,025,344
5. Step 5: Solve for x
   x = 2,776,025,344/33,685
6. Step 6: Final answer
   x = 82,411.32