Finding the Third Proportional to 50,562 and 76,477.50

Step by Step Solution

1. Step 1: Write the proportion equation
   50,562 : 76,477.50 = 76,477.50 : x
2. Step 2: Convert to fraction form
   50,562/76,477.50 = 76,477.50/x
3. Step 3: Cross multiply
   50,562x = 76,477.50 × 76,477.50
4. Step 4: Simplify right side
   50,562x = 5,848,808,006.25
5. Step 5: Solve for x
   x = 5,848,808,006.25/50,562
6. Step 6: Final answer
   x = 115,675.96