Finding the Third Proportional to 17,737.50 and 37,311

Step by Step Solution

1. Step 1: Write the proportion equation
   17,737.50 : 37,311 = 37,311 : x
2. Step 2: Convert to fraction form
   17,737.50/37,311 = 37,311/x
3. Step 3: Cross multiply
   17,737.50x = 37,311 × 37,311
4. Step 4: Simplify right side
   17,737.50x = 1,392,110,721
5. Step 5: Solve for x
   x = 1,392,110,721/17,737.50
6. Step 6: Final answer
   x = 78,484.04