Finding the Third Proportional to 37,847.25 and 78,124.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,847.25 : 78,124.50 = 78,124.50 : x
2. Step 2: Convert to fraction form
   37,847.25/78,124.50 = 78,124.50/x
3. Step 3: Cross multiply
   37,847.25x = 78,124.50 × 78,124.50
4. Step 4: Simplify right side
   37,847.25x = 6,103,437,500.25
5. Step 5: Solve for x
   x = 6,103,437,500.25/37,847.25
6. Step 6: Final answer
   x = 161,265.02