Finding the Third Proportional to 21,166 and 32,423

Step by Step Solution

1. Step 1: Write the proportion equation
   21,166 : 32,423 = 32,423 : x
2. Step 2: Convert to fraction form
   21,166/32,423 = 32,423/x
3. Step 3: Cross multiply
   21,166x = 32,423 × 32,423
4. Step 4: Simplify right side
   21,166x = 1,051,250,929
5. Step 5: Solve for x
   x = 1,051,250,929/21,166
6. Step 6: Final answer
   x = 49,666.96