Finding the Third Proportional to 47,936 and 72,574.50

Step by Step Solution

1. Step 1: Write the proportion equation
   47,936 : 72,574.50 = 72,574.50 : x
2. Step 2: Convert to fraction form
   47,936/72,574.50 = 72,574.50/x
3. Step 3: Cross multiply
   47,936x = 72,574.50 × 72,574.50
4. Step 4: Simplify right side
   47,936x = 5,267,058,050.25
5. Step 5: Solve for x
   x = 5,267,058,050.25/47,936
6. Step 6: Final answer
   x = 109,876.88