Finding the Third Proportional to 37,794 and 82,495.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,794 : 82,495.50 = 82,495.50 : x
2. Step 2: Convert to fraction form
   37,794/82,495.50 = 82,495.50/x
3. Step 3: Cross multiply
   37,794x = 82,495.50 × 82,495.50
4. Step 4: Simplify right side
   37,794x = 6,805,507,520.25
5. Step 5: Solve for x
   x = 6,805,507,520.25/37,794
6. Step 6: Final answer
   x = 180,068.46