Finding the Third Proportional to 30,266.50 and 61,762.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,266.50 : 61,762.50 = 61,762.50 : x
2. Step 2: Convert to fraction form
   30,266.50/61,762.50 = 61,762.50/x
3. Step 3: Cross multiply
   30,266.50x = 61,762.50 × 61,762.50
4. Step 4: Simplify right side
   30,266.50x = 3,814,606,406.25
5. Step 5: Solve for x
   x = 3,814,606,406.25/30,266.50
6. Step 6: Final answer
   x = 126,033.95