Finding the Third Proportional to 32,767.50 and 71,097

Step by Step Solution

1. Step 1: Write the proportion equation
   32,767.50 : 71,097 = 71,097 : x
2. Step 2: Convert to fraction form
   32,767.50/71,097 = 71,097/x
3. Step 3: Cross multiply
   32,767.50x = 71,097 × 71,097
4. Step 4: Simplify right side
   32,767.50x = 5,054,783,409
5. Step 5: Solve for x
   x = 5,054,783,409/32,767.50
6. Step 6: Final answer
   x = 154,262.10