Finding the Third Proportional to 33,064 and 52,181

Step by Step Solution

1. Step 1: Write the proportion equation
   33,064 : 52,181 = 52,181 : x
2. Step 2: Convert to fraction form
   33,064/52,181 = 52,181/x
3. Step 3: Cross multiply
   33,064x = 52,181 × 52,181
4. Step 4: Simplify right side
   33,064x = 2,722,856,761
5. Step 5: Solve for x
   x = 2,722,856,761/33,064
6. Step 6: Final answer
   x = 82,351.10