Finding the Third Proportional to 51,991.88 and 82,645.31

Step by Step Solution

1. Step 1: Write the proportion equation
   51,991.88 : 82,645.31 = 82,645.31 : x
2. Step 2: Convert to fraction form
   51,991.88/82,645.31 = 82,645.31/x
3. Step 3: Cross multiply
   51,991.88x = 82,645.31 × 82,645.31
4. Step 4: Simplify right side
   51,991.88x = 6,830,247,678.22
5. Step 5: Solve for x
   x = 6,830,247,678.22/51,991.88
6. Step 6: Final answer
   x = 131,371.44