Finding the Third Proportional to 33,637.50 and 52,771.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,637.50 : 52,771.50 = 52,771.50 : x
2. Step 2: Convert to fraction form
   33,637.50/52,771.50 = 52,771.50/x
3. Step 3: Cross multiply
   33,637.50x = 52,771.50 × 52,771.50
4. Step 4: Simplify right side
   33,637.50x = 2,784,831,212.25
5. Step 5: Solve for x
   x = 2,784,831,212.25/33,637.50
6. Step 6: Final answer
   x = 82,789.48