Finding the Third Proportional to 49,426.50 and 76,597.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,426.50 : 76,597.50 = 76,597.50 : x
2. Step 2: Convert to fraction form
   49,426.50/76,597.50 = 76,597.50/x
3. Step 3: Cross multiply
   49,426.50x = 76,597.50 × 76,597.50
4. Step 4: Simplify right side
   49,426.50x = 5,867,177,006.25
5. Step 5: Solve for x
   x = 5,867,177,006.25/49,426.50
6. Step 6: Final answer
   x = 118,705.09