Finding the Third Proportional to 34,996 and 53,789

Step by Step Solution

1. Step 1: Write the proportion equation
   34,996 : 53,789 = 53,789 : x
2. Step 2: Convert to fraction form
   34,996/53,789 = 53,789/x
3. Step 3: Cross multiply
   34,996x = 53,789 × 53,789
4. Step 4: Simplify right side
   34,996x = 2,893,256,521
5. Step 5: Solve for x
   x = 2,893,256,521/34,996
6. Step 6: Final answer
   x = 82,673.92