Finding the Third Proportional to 32,174 and 50,523

Step by Step Solution

1. Step 1: Write the proportion equation
   32,174 : 50,523 = 50,523 : x
2. Step 2: Convert to fraction form
   32,174/50,523 = 50,523/x
3. Step 3: Cross multiply
   32,174x = 50,523 × 50,523
4. Step 4: Simplify right side
   32,174x = 2,552,573,529
5. Step 5: Solve for x
   x = 2,552,573,529/32,174
6. Step 6: Final answer
   x = 79,336.53