Finding the Third Proportional to 29,627.50 and 41,922.50

Step by Step Solution

1. Step 1: Write the proportion equation
   29,627.50 : 41,922.50 = 41,922.50 : x
2. Step 2: Convert to fraction form
   29,627.50/41,922.50 = 41,922.50/x
3. Step 3: Cross multiply
   29,627.50x = 41,922.50 × 41,922.50
4. Step 4: Simplify right side
   29,627.50x = 1,757,496,006.25
5. Step 5: Solve for x
   x = 1,757,496,006.25/29,627.50
6. Step 6: Final answer
   x = 59,319.75