Finding the Third Proportional to 30,322.50 and 64,767

Step by Step Solution

1. Step 1: Write the proportion equation
   30,322.50 : 64,767 = 64,767 : x
2. Step 2: Convert to fraction form
   30,322.50/64,767 = 64,767/x
3. Step 3: Cross multiply
   30,322.50x = 64,767 × 64,767
4. Step 4: Simplify right side
   30,322.50x = 4,194,764,289
5. Step 5: Solve for x
   x = 4,194,764,289/30,322.50
6. Step 6: Final answer
   x = 138,338.34