Finding the Third Proportional to 33,499.50 and 51,847

Step by Step Solution

1. Step 1: Write the proportion equation
   33,499.50 : 51,847 = 51,847 : x
2. Step 2: Convert to fraction form
   33,499.50/51,847 = 51,847/x
3. Step 3: Cross multiply
   33,499.50x = 51,847 × 51,847
4. Step 4: Simplify right side
   33,499.50x = 2,688,111,409
5. Step 5: Solve for x
   x = 2,688,111,409/33,499.50
6. Step 6: Final answer
   x = 80,243.33