Finding the Third Proportional to 30,068 and 65,261

Step by Step Solution

1. Step 1: Write the proportion equation
   30,068 : 65,261 = 65,261 : x
2. Step 2: Convert to fraction form
   30,068/65,261 = 65,261/x
3. Step 3: Cross multiply
   30,068x = 65,261 × 65,261
4. Step 4: Simplify right side
   30,068x = 4,258,998,121
5. Step 5: Solve for x
   x = 4,258,998,121/30,068
6. Step 6: Final answer
   x = 141,645.54