Finding the Third Proportional to 34,337 and 53,139

Step by Step Solution

1. Step 1: Write the proportion equation
   34,337 : 53,139 = 53,139 : x
2. Step 2: Convert to fraction form
   34,337/53,139 = 53,139/x
3. Step 3: Cross multiply
   34,337x = 53,139 × 53,139
4. Step 4: Simplify right side
   34,337x = 2,823,753,321
5. Step 5: Solve for x
   x = 2,823,753,321/34,337
6. Step 6: Final answer
   x = 82,236.46