Finding the Third Proportional to 8,042 and 12,632.25

Step by Step Solution

1. Step 1: Write the proportion equation
   8,042 : 12,632.25 = 12,632.25 : x
2. Step 2: Convert to fraction form
   8,042/12,632.25 = 12,632.25/x
3. Step 3: Cross multiply
   8,042x = 12,632.25 × 12,632.25
4. Step 4: Simplify right side
   8,042x = 159,573,740.06
5. Step 5: Solve for x
   x = 159,573,740.06/8,042
6. Step 6: Final answer
   x = 19,842.54