Finding the Third Proportional to 37,728.50 and 78,557.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,728.50 : 78,557.50 = 78,557.50 : x
2. Step 2: Convert to fraction form
   37,728.50/78,557.50 = 78,557.50/x
3. Step 3: Cross multiply
   37,728.50x = 78,557.50 × 78,557.50
4. Step 4: Simplify right side
   37,728.50x = 6,171,280,806.25
5. Step 5: Solve for x
   x = 6,171,280,806.25/37,728.50
6. Step 6: Final answer
   x = 163,570.80