Finding the Third Proportional to 41,634 and 61,348.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,634 : 61,348.50 = 61,348.50 : x
2. Step 2: Convert to fraction form
   41,634/61,348.50 = 61,348.50/x
3. Step 3: Cross multiply
   41,634x = 61,348.50 × 61,348.50
4. Step 4: Simplify right side
   41,634x = 3,763,638,452.25
5. Step 5: Solve for x
   x = 3,763,638,452.25/41,634
6. Step 6: Final answer
   x = 90,398.20