Finding the Third Proportional to 34,242 and 50,178

Step by Step Solution

1. Step 1: Write the proportion equation
   34,242 : 50,178 = 50,178 : x
2. Step 2: Convert to fraction form
   34,242/50,178 = 50,178/x
3. Step 3: Cross multiply
   34,242x = 50,178 × 50,178
4. Step 4: Simplify right side
   34,242x = 2,517,831,684
5. Step 5: Solve for x
   x = 2,517,831,684/34,242
6. Step 6: Final answer
   x = 73,530.51