Finding the Third Proportional to 50,837 and 76,655.50

Step by Step Solution

1. Step 1: Write the proportion equation
   50,837 : 76,655.50 = 76,655.50 : x
2. Step 2: Convert to fraction form
   50,837/76,655.50 = 76,655.50/x
3. Step 3: Cross multiply
   50,837x = 76,655.50 × 76,655.50
4. Step 4: Simplify right side
   50,837x = 5,876,065,680.25
5. Step 5: Solve for x
   x = 5,876,065,680.25/50,837
6. Step 6: Final answer
   x = 115,586.40