Finding the Third Proportional to 52,915.50 and 82,021.50

Step by Step Solution

1. Step 1: Write the proportion equation
   52,915.50 : 82,021.50 = 82,021.50 : x
2. Step 2: Convert to fraction form
   52,915.50/82,021.50 = 82,021.50/x
3. Step 3: Cross multiply
   52,915.50x = 82,021.50 × 82,021.50
4. Step 4: Simplify right side
   52,915.50x = 6,727,526,462.25
5. Step 5: Solve for x
   x = 6,727,526,462.25/52,915.50
6. Step 6: Final answer
   x = 127,137.16