Finding the Third Proportional to 14,114 and 32,818

Step by Step Solution

1. Step 1: Write the proportion equation
   14,114 : 32,818 = 32,818 : x
2. Step 2: Convert to fraction form
   14,114/32,818 = 32,818/x
3. Step 3: Cross multiply
   14,114x = 32,818 × 32,818
4. Step 4: Simplify right side
   14,114x = 1,077,021,124
5. Step 5: Solve for x
   x = 1,077,021,124/14,114
6. Step 6: Final answer
   x = 76,308.71