Finding the Third Proportional to 29,786 and 64,910

Step by Step Solution

1. Step 1: Write the proportion equation
   29,786 : 64,910 = 64,910 : x
2. Step 2: Convert to fraction form
   29,786/64,910 = 64,910/x
3. Step 3: Cross multiply
   29,786x = 64,910 × 64,910
4. Step 4: Simplify right side
   29,786x = 4,213,308,100
5. Step 5: Solve for x
   x = 4,213,308,100/29,786
6. Step 6: Final answer
   x = 141,452.63