Finding the Third Proportional to 7,553 and 17,561.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,553 : 17,561.50 = 17,561.50 : x
2. Step 2: Convert to fraction form
   7,553/17,561.50 = 17,561.50/x
3. Step 3: Cross multiply
   7,553x = 17,561.50 × 17,561.50
4. Step 4: Simplify right side
   7,553x = 308,406,282.25
5. Step 5: Solve for x
   x = 308,406,282.25/7,553
6. Step 6: Final answer
   x = 40,832.29