Finding the Third Proportional to 29,662 and 64,798

Step by Step Solution

1. Step 1: Write the proportion equation
   29,662 : 64,798 = 64,798 : x
2. Step 2: Convert to fraction form
   29,662/64,798 = 64,798/x
3. Step 3: Cross multiply
   29,662x = 64,798 × 64,798
4. Step 4: Simplify right side
   29,662x = 4,198,780,804
5. Step 5: Solve for x
   x = 4,198,780,804/29,662
6. Step 6: Final answer
   x = 141,554.20