Finding the Third Proportional to 30,738 and 47,470.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,738 : 47,470.50 = 47,470.50 : x
2. Step 2: Convert to fraction form
   30,738/47,470.50 = 47,470.50/x
3. Step 3: Cross multiply
   30,738x = 47,470.50 × 47,470.50
4. Step 4: Simplify right side
   30,738x = 2,253,448,370.25
5. Step 5: Solve for x
   x = 2,253,448,370.25/30,738
6. Step 6: Final answer
   x = 73,311.48