Finding the Third Proportional to 49,509 and 76,747.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,509 : 76,747.50 = 76,747.50 : x
2. Step 2: Convert to fraction form
   49,509/76,747.50 = 76,747.50/x
3. Step 3: Cross multiply
   49,509x = 76,747.50 × 76,747.50
4. Step 4: Simplify right side
   49,509x = 5,890,178,756.25
5. Step 5: Solve for x
   x = 5,890,178,756.25/49,509
6. Step 6: Final answer
   x = 118,971.88