Finding the Third Proportional to 41,553 and 91,651.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,553 : 91,651.50 = 91,651.50 : x
2. Step 2: Convert to fraction form
   41,553/91,651.50 = 91,651.50/x
3. Step 3: Cross multiply
   41,553x = 91,651.50 × 91,651.50
4. Step 4: Simplify right side
   41,553x = 8,399,997,452.25
5. Step 5: Solve for x
   x = 8,399,997,452.25/41,553
6. Step 6: Final answer
   x = 202,151.41