Finding the Third Proportional to 51,845.50 and 82,691.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,845.50 : 82,691.50 = 82,691.50 : x
2. Step 2: Convert to fraction form
   51,845.50/82,691.50 = 82,691.50/x
3. Step 3: Cross multiply
   51,845.50x = 82,691.50 × 82,691.50
4. Step 4: Simplify right side
   51,845.50x = 6,837,884,172.25
5. Step 5: Solve for x
   x = 6,837,884,172.25/51,845.50
6. Step 6: Final answer
   x = 131,889.64