Finding the Third Proportional to 33,784 and 52,996.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,784 : 52,996.50 = 52,996.50 : x
2. Step 2: Convert to fraction form
   33,784/52,996.50 = 52,996.50/x
3. Step 3: Cross multiply
   33,784x = 52,996.50 × 52,996.50
4. Step 4: Simplify right side
   33,784x = 2,808,629,012.25
5. Step 5: Solve for x
   x = 2,808,629,012.25/33,784
6. Step 6: Final answer
   x = 83,134.89