Finding the Third Proportional to 14,116 and 32,819

Step by Step Solution

1. Step 1: Write the proportion equation
   14,116 : 32,819 = 32,819 : x
2. Step 2: Convert to fraction form
   14,116/32,819 = 32,819/x
3. Step 3: Cross multiply
   14,116x = 32,819 × 32,819
4. Step 4: Simplify right side
   14,116x = 1,077,086,761
5. Step 5: Solve for x
   x = 1,077,086,761/14,116
6. Step 6: Final answer
   x = 76,302.55