Finding the Third Proportional to 7,571 and 17,955.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,571 : 17,955.50 = 17,955.50 : x
2. Step 2: Convert to fraction form
   7,571/17,955.50 = 17,955.50/x
3. Step 3: Cross multiply
   7,571x = 17,955.50 × 17,955.50
4. Step 4: Simplify right side
   7,571x = 322,399,980.25
5. Step 5: Solve for x
   x = 322,399,980.25/7,571
6. Step 6: Final answer
   x = 42,583.54