Finding the Third Proportional to 34,533 and 73,966.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,533 : 73,966.50 = 73,966.50 : x
2. Step 2: Convert to fraction form
   34,533/73,966.50 = 73,966.50/x
3. Step 3: Cross multiply
   34,533x = 73,966.50 × 73,966.50
4. Step 4: Simplify right side
   34,533x = 5,471,043,122.25
5. Step 5: Solve for x
   x = 5,471,043,122.25/34,533
6. Step 6: Final answer
   x = 158,429.42