Finding the Third Proportional to 34,610 and 53,471

Step by Step Solution

1. Step 1: Write the proportion equation
   34,610 : 53,471 = 53,471 : x
2. Step 2: Convert to fraction form
   34,610/53,471 = 53,471/x
3. Step 3: Cross multiply
   34,610x = 53,471 × 53,471
4. Step 4: Simplify right side
   34,610x = 2,859,147,841
5. Step 5: Solve for x
   x = 2,859,147,841/34,610
6. Step 6: Final answer
   x = 82,610.45