Finding the Third Proportional to 33,666 and 52,276.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,666 : 52,276.50 = 52,276.50 : x
2. Step 2: Convert to fraction form
   33,666/52,276.50 = 52,276.50/x
3. Step 3: Cross multiply
   33,666x = 52,276.50 × 52,276.50
4. Step 4: Simplify right side
   33,666x = 2,732,832,452.25
5. Step 5: Solve for x
   x = 2,732,832,452.25/33,666
6. Step 6: Final answer
   x = 81,174.85