Finding the Third Proportional to 35,631 and 38,911.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,631 : 38,911.50 = 38,911.50 : x
2. Step 2: Convert to fraction form
   35,631/38,911.50 = 38,911.50/x
3. Step 3: Cross multiply
   35,631x = 38,911.50 × 38,911.50
4. Step 4: Simplify right side
   35,631x = 1,514,104,832.25
5. Step 5: Solve for x
   x = 1,514,104,832.25/35,631
6. Step 6: Final answer
   x = 42,494.03