Finding the Third Proportional to 49,434 and 76,609.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,434 : 76,609.50 = 76,609.50 : x
2. Step 2: Convert to fraction form
   49,434/76,609.50 = 76,609.50/x
3. Step 3: Cross multiply
   49,434x = 76,609.50 × 76,609.50
4. Step 4: Simplify right side
   49,434x = 5,869,015,490.25
5. Step 5: Solve for x
   x = 5,869,015,490.25/49,434
6. Step 6: Final answer
   x = 118,724.27