Finding the Third Proportional to 33,688 and 52,851

Step by Step Solution

1. Step 1: Write the proportion equation
   33,688 : 52,851 = 52,851 : x
2. Step 2: Convert to fraction form
   33,688/52,851 = 52,851/x
3. Step 3: Cross multiply
   33,688x = 52,851 × 52,851
4. Step 4: Simplify right side
   33,688x = 2,793,228,201
5. Step 5: Solve for x
   x = 2,793,228,201/33,688
6. Step 6: Final answer
   x = 82,914.63