Finding the Third Proportional to 34,034 and 72,184

Step by Step Solution

1. Step 1: Write the proportion equation
   34,034 : 72,184 = 72,184 : x
2. Step 2: Convert to fraction form
   34,034/72,184 = 72,184/x
3. Step 3: Cross multiply
   34,034x = 72,184 × 72,184
4. Step 4: Simplify right side
   34,034x = 5,210,529,856
5. Step 5: Solve for x
   x = 5,210,529,856/34,034
6. Step 6: Final answer
   x = 153,097.78