Finding the Third Proportional to 9,141 and 19,513.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,141 : 19,513.50 = 19,513.50 : x
2. Step 2: Convert to fraction form
   9,141/19,513.50 = 19,513.50/x
3. Step 3: Cross multiply
   9,141x = 19,513.50 × 19,513.50
4. Step 4: Simplify right side
   9,141x = 380,776,682.25
5. Step 5: Solve for x
   x = 380,776,682.25/9,141
6. Step 6: Final answer
   x = 41,655.91