Finding the Third Proportional to 34,026 and 72,102

Step by Step Solution

1. Step 1: Write the proportion equation
   34,026 : 72,102 = 72,102 : x
2. Step 2: Convert to fraction form
   34,026/72,102 = 72,102/x
3. Step 3: Cross multiply
   34,026x = 72,102 × 72,102
4. Step 4: Simplify right side
   34,026x = 5,198,698,404
5. Step 5: Solve for x
   x = 5,198,698,404/34,026
6. Step 6: Final answer
   x = 152,786.06