Finding the Third Proportional to 14,827 and 32,766

Step by Step Solution

1. Step 1: Write the proportion equation
   14,827 : 32,766 = 32,766 : x
2. Step 2: Convert to fraction form
   14,827/32,766 = 32,766/x
3. Step 3: Cross multiply
   14,827x = 32,766 × 32,766
4. Step 4: Simplify right side
   14,827x = 1,073,610,756
5. Step 5: Solve for x
   x = 1,073,610,756/14,827
6. Step 6: Final answer
   x = 72,409.17