Finding the Third Proportional to 32,014 and 38,830

Step by Step Solution

1. Step 1: Write the proportion equation
   32,014 : 38,830 = 38,830 : x
2. Step 2: Convert to fraction form
   32,014/38,830 = 38,830/x
3. Step 3: Cross multiply
   32,014x = 38,830 × 38,830
4. Step 4: Simplify right side
   32,014x = 1,507,768,900
5. Step 5: Solve for x
   x = 1,507,768,900/32,014
6. Step 6: Final answer
   x = 47,097.17