Finding the Third Proportional to 34,052 and 72,158

Step by Step Solution

1. Step 1: Write the proportion equation
   34,052 : 72,158 = 72,158 : x
2. Step 2: Convert to fraction form
   34,052/72,158 = 72,158/x
3. Step 3: Cross multiply
   34,052x = 72,158 × 72,158
4. Step 4: Simplify right side
   34,052x = 5,206,776,964
5. Step 5: Solve for x
   x = 5,206,776,964/34,052
6. Step 6: Final answer
   x = 152,906.64