Finding the Third Proportional to 72,027 and 109,034

Step by Step Solution

1. Step 1: Write the proportion equation
   72,027 : 109,034 = 109,034 : x
2. Step 2: Convert to fraction form
   72,027/109,034 = 109,034/x
3. Step 3: Cross multiply
   72,027x = 109,034 × 109,034
4. Step 4: Simplify right side
   72,027x = 11,888,413,156
5. Step 5: Solve for x
   x = 11,888,413,156/72,027
6. Step 6: Final answer
   x = 165,054.95