Finding the Third Proportional to 30,775.50 and 67,297.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,775.50 : 67,297.50 = 67,297.50 : x
2. Step 2: Convert to fraction form
   30,775.50/67,297.50 = 67,297.50/x
3. Step 3: Cross multiply
   30,775.50x = 67,297.50 × 67,297.50
4. Step 4: Simplify right side
   30,775.50x = 4,528,953,506.25
5. Step 5: Solve for x
   x = 4,528,953,506.25/30,775.50
6. Step 6: Final answer
   x = 147,161.00