Finding the Third Proportional to 52,164 and 82,968

Step by Step Solution

1. Step 1: Write the proportion equation
   52,164 : 82,968 = 82,968 : x
2. Step 2: Convert to fraction form
   52,164/82,968 = 82,968/x
3. Step 3: Cross multiply
   52,164x = 82,968 × 82,968
4. Step 4: Simplify right side
   52,164x = 6,883,689,024
5. Step 5: Solve for x
   x = 6,883,689,024/52,164
6. Step 6: Final answer
   x = 131,962.45