Finding the Third Proportional to 33,174 and 48,775.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,174 : 48,775.50 = 48,775.50 : x
2. Step 2: Convert to fraction form
   33,174/48,775.50 = 48,775.50/x
3. Step 3: Cross multiply
   33,174x = 48,775.50 × 48,775.50
4. Step 4: Simplify right side
   33,174x = 2,379,049,400.25
5. Step 5: Solve for x
   x = 2,379,049,400.25/33,174
6. Step 6: Final answer
   x = 71,714.28