Finding the Third Proportional to 16,148 and 34,253

Step by Step Solution

1. Step 1: Write the proportion equation
   16,148 : 34,253 = 34,253 : x
2. Step 2: Convert to fraction form
   16,148/34,253 = 34,253/x
3. Step 3: Cross multiply
   16,148x = 34,253 × 34,253
4. Step 4: Simplify right side
   16,148x = 1,173,268,009
5. Step 5: Solve for x
   x = 1,173,268,009/16,148
6. Step 6: Final answer
   x = 72,657.17