Finding the Third Proportional to 47,937 and 75,034.50

Step by Step Solution

1. Step 1: Write the proportion equation
   47,937 : 75,034.50 = 75,034.50 : x
2. Step 2: Convert to fraction form
   47,937/75,034.50 = 75,034.50/x
3. Step 3: Cross multiply
   47,937x = 75,034.50 × 75,034.50
4. Step 4: Simplify right side
   47,937x = 5,630,176,190.25
5. Step 5: Solve for x
   x = 5,630,176,190.25/47,937
6. Step 6: Final answer
   x = 117,449.49