Finding the Third Proportional to 34,146 and 53,447

Step by Step Solution

1. Step 1: Write the proportion equation
   34,146 : 53,447 = 53,447 : x
2. Step 2: Convert to fraction form
   34,146/53,447 = 53,447/x
3. Step 3: Cross multiply
   34,146x = 53,447 × 53,447
4. Step 4: Simplify right side
   34,146x = 2,856,581,809
5. Step 5: Solve for x
   x = 2,856,581,809/34,146
6. Step 6: Final answer
   x = 83,657.88