Finding the Third Proportional to 51,805.50 and 82,304.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,805.50 : 82,304.50 = 82,304.50 : x
2. Step 2: Convert to fraction form
   51,805.50/82,304.50 = 82,304.50/x
3. Step 3: Cross multiply
   51,805.50x = 82,304.50 × 82,304.50
4. Step 4: Simplify right side
   51,805.50x = 6,774,030,720.25
5. Step 5: Solve for x
   x = 6,774,030,720.25/51,805.50
6. Step 6: Final answer
   x = 130,758.91