Finding the Third Proportional to 51,729 and 82,649.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,729 : 82,649.50 = 82,649.50 : x
2. Step 2: Convert to fraction form
   51,729/82,649.50 = 82,649.50/x
3. Step 3: Cross multiply
   51,729x = 82,649.50 × 82,649.50
4. Step 4: Simplify right side
   51,729x = 6,830,939,850.25
5. Step 5: Solve for x
   x = 6,830,939,850.25/51,729
6. Step 6: Final answer
   x = 132,052.42