Finding the Third Proportional to 30,778.50 and 47,077.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,778.50 : 47,077.50 = 47,077.50 : x
2. Step 2: Convert to fraction form
   30,778.50/47,077.50 = 47,077.50/x
3. Step 3: Cross multiply
   30,778.50x = 47,077.50 × 47,077.50
4. Step 4: Simplify right side
   30,778.50x = 2,216,291,006.25
5. Step 5: Solve for x
   x = 2,216,291,006.25/30,778.50
6. Step 6: Final answer
   x = 72,007.77