Finding the Third Proportional to 41,762 and 91,300

Step by Step Solution

1. Step 1: Write the proportion equation
   41,762 : 91,300 = 91,300 : x
2. Step 2: Convert to fraction form
   41,762/91,300 = 91,300/x
3. Step 3: Cross multiply
   41,762x = 91,300 × 91,300
4. Step 4: Simplify right side
   41,762x = 8,335,690,000
5. Step 5: Solve for x
   x = 8,335,690,000/41,762
6. Step 6: Final answer
   x = 199,599.88