Finding the Third Proportional to 13,070 and 17,561.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,070 : 17,561.50 = 17,561.50 : x
2. Step 2: Convert to fraction form
   13,070/17,561.50 = 17,561.50/x
3. Step 3: Cross multiply
   13,070x = 17,561.50 × 17,561.50
4. Step 4: Simplify right side
   13,070x = 308,406,282.25
5. Step 5: Solve for x
   x = 308,406,282.25/13,070
6. Step 6: Final answer
   x = 23,596.50