Finding the Third Proportional to 33,780 and 53,761.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,780 : 53,761.50 = 53,761.50 : x
2. Step 2: Convert to fraction form
   33,780/53,761.50 = 53,761.50/x
3. Step 3: Cross multiply
   33,780x = 53,761.50 × 53,761.50
4. Step 4: Simplify right side
   33,780x = 2,890,298,882.25
5. Step 5: Solve for x
   x = 2,890,298,882.25/33,780
6. Step 6: Final answer
   x = 85,562.43