Finding the Third Proportional to 35,670 and 38,783.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,670 : 38,783.50 = 38,783.50 : x
2. Step 2: Convert to fraction form
   35,670/38,783.50 = 38,783.50/x
3. Step 3: Cross multiply
   35,670x = 38,783.50 × 38,783.50
4. Step 4: Simplify right side
   35,670x = 1,504,159,872.25
5. Step 5: Solve for x
   x = 1,504,159,872.25/35,670
6. Step 6: Final answer
   x = 42,168.77