Finding the Third Proportional to 52,776 and 71,698

Step by Step Solution

1. Step 1: Write the proportion equation
   52,776 : 71,698 = 71,698 : x
2. Step 2: Convert to fraction form
   52,776/71,698 = 71,698/x
3. Step 3: Cross multiply
   52,776x = 71,698 × 71,698
4. Step 4: Simplify right side
   52,776x = 5,140,603,204
5. Step 5: Solve for x
   x = 5,140,603,204/52,776
6. Step 6: Final answer
   x = 97,404.18