Finding the Third Proportional to 34,802 and 64,996

Step by Step Solution

1. Step 1: Write the proportion equation
   34,802 : 64,996 = 64,996 : x
2. Step 2: Convert to fraction form
   34,802/64,996 = 64,996/x
3. Step 3: Cross multiply
   34,802x = 64,996 × 64,996
4. Step 4: Simplify right side
   34,802x = 4,224,480,016
5. Step 5: Solve for x
   x = 4,224,480,016/34,802
6. Step 6: Final answer
   x = 121,386.13