Finding the Third Proportional to 23,192 and 35,230

Step by Step Solution

1. Step 1: Write the proportion equation
   23,192 : 35,230 = 35,230 : x
2. Step 2: Convert to fraction form
   23,192/35,230 = 35,230/x
3. Step 3: Cross multiply
   23,192x = 35,230 × 35,230
4. Step 4: Simplify right side
   23,192x = 1,241,152,900
5. Step 5: Solve for x
   x = 1,241,152,900/23,192
6. Step 6: Final answer
   x = 53,516.42