Finding the Third Proportional to 37,982.75 and 78,395.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,982.75 : 78,395.50 = 78,395.50 : x
2. Step 2: Convert to fraction form
   37,982.75/78,395.50 = 78,395.50/x
3. Step 3: Cross multiply
   37,982.75x = 78,395.50 × 78,395.50
4. Step 4: Simplify right side
   37,982.75x = 6,145,854,420.25
5. Step 5: Solve for x
   x = 6,145,854,420.25/37,982.75
6. Step 6: Final answer
   x = 161,806.46