Finding the Third Proportional to 29,806 and 64,738

Step by Step Solution

1. Step 1: Write the proportion equation
   29,806 : 64,738 = 64,738 : x
2. Step 2: Convert to fraction form
   29,806/64,738 = 64,738/x
3. Step 3: Cross multiply
   29,806x = 64,738 × 64,738
4. Step 4: Simplify right side
   29,806x = 4,191,008,644
5. Step 5: Solve for x
   x = 4,191,008,644/29,806
6. Step 6: Final answer
   x = 140,609.56