Finding the Third Proportional to 36,222 and 54,562.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,222 : 54,562.50 = 54,562.50 : x
2. Step 2: Convert to fraction form
   36,222/54,562.50 = 54,562.50/x
3. Step 3: Cross multiply
   36,222x = 54,562.50 × 54,562.50
4. Step 4: Simplify right side
   36,222x = 2,977,066,406.25
5. Step 5: Solve for x
   x = 2,977,066,406.25/36,222
6. Step 6: Final answer
   x = 82,189.45