Finding the Third Proportional to 14,262 and 32,789

Step by Step Solution

1. Step 1: Write the proportion equation
   14,262 : 32,789 = 32,789 : x
2. Step 2: Convert to fraction form
   14,262/32,789 = 32,789/x
3. Step 3: Cross multiply
   14,262x = 32,789 × 32,789
4. Step 4: Simplify right side
   14,262x = 1,075,118,521
5. Step 5: Solve for x
   x = 1,075,118,521/14,262
6. Step 6: Final answer
   x = 75,383.43