Finding the Third Proportional to 9,166 and 20,083.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,166 : 20,083.50 = 20,083.50 : x
2. Step 2: Convert to fraction form
   9,166/20,083.50 = 20,083.50/x
3. Step 3: Cross multiply
   9,166x = 20,083.50 × 20,083.50
4. Step 4: Simplify right side
   9,166x = 403,346,972.25
5. Step 5: Solve for x
   x = 403,346,972.25/9,166
6. Step 6: Final answer
   x = 44,004.69