Finding the Third Proportional to 14,166 and 21,513

Step by Step Solution

1. Step 1: Write the proportion equation
   14,166 : 21,513 = 21,513 : x
2. Step 2: Convert to fraction form
   14,166/21,513 = 21,513/x
3. Step 3: Cross multiply
   14,166x = 21,513 × 21,513
4. Step 4: Simplify right side
   14,166x = 462,809,169
5. Step 5: Solve for x
   x = 462,809,169/14,166
6. Step 6: Final answer
   x = 32,670.42