Finding the Third Proportional to 33,726 and 53,688

Step by Step Solution

1. Step 1: Write the proportion equation
   33,726 : 53,688 = 53,688 : x
2. Step 2: Convert to fraction form
   33,726/53,688 = 53,688/x
3. Step 3: Cross multiply
   33,726x = 53,688 × 53,688
4. Step 4: Simplify right side
   33,726x = 2,882,401,344
5. Step 5: Solve for x
   x = 2,882,401,344/33,726
6. Step 6: Final answer
   x = 85,465.26