Finding the Third Proportional to 32,772 and 69,553.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,772 : 69,553.50 = 69,553.50 : x
2. Step 2: Convert to fraction form
   32,772/69,553.50 = 69,553.50/x
3. Step 3: Cross multiply
   32,772x = 69,553.50 × 69,553.50
4. Step 4: Simplify right side
   32,772x = 4,837,689,362.25
5. Step 5: Solve for x
   x = 4,837,689,362.25/32,772
6. Step 6: Final answer
   x = 147,616.54