Finding the Third Proportional to 9,257 and 13,501.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,257 : 13,501.50 = 13,501.50 : x
2. Step 2: Convert to fraction form
   9,257/13,501.50 = 13,501.50/x
3. Step 3: Cross multiply
   9,257x = 13,501.50 × 13,501.50
4. Step 4: Simplify right side
   9,257x = 182,290,502.25
5. Step 5: Solve for x
   x = 182,290,502.25/9,257
6. Step 6: Final answer
   x = 19,692.18