Finding the Third Proportional to 9,143 and 19,673.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,143 : 19,673.50 = 19,673.50 : x
2. Step 2: Convert to fraction form
   9,143/19,673.50 = 19,673.50/x
3. Step 3: Cross multiply
   9,143x = 19,673.50 × 19,673.50
4. Step 4: Simplify right side
   9,143x = 387,046,602.25
5. Step 5: Solve for x
   x = 387,046,602.25/9,143
6. Step 6: Final answer
   x = 42,332.56