Finding the Third Proportional to 38,633.63 and 84,648.38

Step by Step Solution

1. Step 1: Write the proportion equation
   38,633.63 : 84,648.38 = 84,648.38 : x
2. Step 2: Convert to fraction form
   38,633.63/84,648.38 = 84,648.38/x
3. Step 3: Cross multiply
   38,633.63x = 84,648.38 × 84,648.38
4. Step 4: Simplify right side
   38,633.63x = 7,165,347,390.14
5. Step 5: Solve for x
   x = 7,165,347,390.14/38,633.63
6. Step 6: Final answer
   x = 185,469.20