Finding the Third Proportional to 29,818 and 65,166

Step by Step Solution

1. Step 1: Write the proportion equation
   29,818 : 65,166 = 65,166 : x
2. Step 2: Convert to fraction form
   29,818/65,166 = 65,166/x
3. Step 3: Cross multiply
   29,818x = 65,166 × 65,166
4. Step 4: Simplify right side
   29,818x = 4,246,607,556
5. Step 5: Solve for x
   x = 4,246,607,556/29,818
6. Step 6: Final answer
   x = 142,417.59