Finding the Third Proportional to 34,192 and 74,216

Step by Step Solution

1. Step 1: Write the proportion equation
   34,192 : 74,216 = 74,216 : x
2. Step 2: Convert to fraction form
   34,192/74,216 = 74,216/x
3. Step 3: Cross multiply
   34,192x = 74,216 × 74,216
4. Step 4: Simplify right side
   34,192x = 5,508,014,656
5. Step 5: Solve for x
   x = 5,508,014,656/34,192
6. Step 6: Final answer
   x = 161,090.74