Finding the Third Proportional to 29,578.50 and 41,602.50

Step by Step Solution

1. Step 1: Write the proportion equation
   29,578.50 : 41,602.50 = 41,602.50 : x
2. Step 2: Convert to fraction form
   29,578.50/41,602.50 = 41,602.50/x
3. Step 3: Cross multiply
   29,578.50x = 41,602.50 × 41,602.50
4. Step 4: Simplify right side
   29,578.50x = 1,730,768,006.25
5. Step 5: Solve for x
   x = 1,730,768,006.25/29,578.50
6. Step 6: Final answer
   x = 58,514.39