Finding the Third Proportional to 14,106 and 32,801

Step by Step Solution

1. Step 1: Write the proportion equation
   14,106 : 32,801 = 32,801 : x
2. Step 2: Convert to fraction form
   14,106/32,801 = 32,801/x
3. Step 3: Cross multiply
   14,106x = 32,801 × 32,801
4. Step 4: Simplify right side
   14,106x = 1,075,905,601
5. Step 5: Solve for x
   x = 1,075,905,601/14,106
6. Step 6: Final answer
   x = 76,272.91