Finding the Third Proportional to 34,898 and 76,708

Step by Step Solution

1. Step 1: Write the proportion equation
   34,898 : 76,708 = 76,708 : x
2. Step 2: Convert to fraction form
   34,898/76,708 = 76,708/x
3. Step 3: Cross multiply
   34,898x = 76,708 × 76,708
4. Step 4: Simplify right side
   34,898x = 5,884,117,264
5. Step 5: Solve for x
   x = 5,884,117,264/34,898
6. Step 6: Final answer
   x = 168,609.01