Finding the Third Proportional to 34,897 and 76,706

Step by Step Solution

1. Step 1: Write the proportion equation
   34,897 : 76,706 = 76,706 : x
2. Step 2: Convert to fraction form
   34,897/76,706 = 76,706/x
3. Step 3: Cross multiply
   34,897x = 76,706 × 76,706
4. Step 4: Simplify right side
   34,897x = 5,883,810,436
5. Step 5: Solve for x
   x = 5,883,810,436/34,897
6. Step 6: Final answer
   x = 168,605.05