Finding the Third Proportional to 14,526 and 23,166

Step by Step Solution

1. Step 1: Write the proportion equation
   14,526 : 23,166 = 23,166 : x
2. Step 2: Convert to fraction form
   14,526/23,166 = 23,166/x
3. Step 3: Cross multiply
   14,526x = 23,166 × 23,166
4. Step 4: Simplify right side
   14,526x = 536,663,556
5. Step 5: Solve for x
   x = 536,663,556/14,526
6. Step 6: Final answer
   x = 36,945.03