Finding the Third Proportional to 29,142 and 64,116

Step by Step Solution

1. Step 1: Write the proportion equation
   29,142 : 64,116 = 64,116 : x
2. Step 2: Convert to fraction form
   29,142/64,116 = 64,116/x
3. Step 3: Cross multiply
   29,142x = 64,116 × 64,116
4. Step 4: Simplify right side
   29,142x = 4,110,861,456
5. Step 5: Solve for x
   x = 4,110,861,456/29,142
6. Step 6: Final answer
   x = 141,063.12