Finding the Third Proportional to 29,625 and 41,665.50

Step by Step Solution

1. Step 1: Write the proportion equation
   29,625 : 41,665.50 = 41,665.50 : x
2. Step 2: Convert to fraction form
   29,625/41,665.50 = 41,665.50/x
3. Step 3: Cross multiply
   29,625x = 41,665.50 × 41,665.50
4. Step 4: Simplify right side
   29,625x = 1,736,013,890.25
5. Step 5: Solve for x
   x = 1,736,013,890.25/29,625
6. Step 6: Final answer
   x = 58,599.62