Finding the Third Proportional to 29,836 and 41,824.50

Step by Step Solution

1. Step 1: Write the proportion equation
   29,836 : 41,824.50 = 41,824.50 : x
2. Step 2: Convert to fraction form
   29,836/41,824.50 = 41,824.50/x
3. Step 3: Cross multiply
   29,836x = 41,824.50 × 41,824.50
4. Step 4: Simplify right side
   29,836x = 1,749,288,800.25
5. Step 5: Solve for x
   x = 1,749,288,800.25/29,836
6. Step 6: Final answer
   x = 58,630.14