Finding the Third Proportional to 37,982.25 and 78,394.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,982.25 : 78,394.50 = 78,394.50 : x
2. Step 2: Convert to fraction form
   37,982.25/78,394.50 = 78,394.50/x
3. Step 3: Cross multiply
   37,982.25x = 78,394.50 × 78,394.50
4. Step 4: Simplify right side
   37,982.25x = 6,145,697,630.25
5. Step 5: Solve for x
   x = 6,145,697,630.25/37,982.25
6. Step 6: Final answer
   x = 161,804.46