Finding the Third Proportional to 29,614 and 64,142

Step by Step Solution

1. Step 1: Write the proportion equation
   29,614 : 64,142 = 64,142 : x
2. Step 2: Convert to fraction form
   29,614/64,142 = 64,142/x
3. Step 3: Cross multiply
   29,614x = 64,142 × 64,142
4. Step 4: Simplify right side
   29,614x = 4,114,196,164
5. Step 5: Solve for x
   x = 4,114,196,164/29,614
6. Step 6: Final answer
   x = 138,927.40