Finding the Third Proportional to 35,671 and 38,784.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,671 : 38,784.50 = 38,784.50 : x
2. Step 2: Convert to fraction form
   35,671/38,784.50 = 38,784.50/x
3. Step 3: Cross multiply
   35,671x = 38,784.50 × 38,784.50
4. Step 4: Simplify right side
   35,671x = 1,504,237,440.25
5. Step 5: Solve for x
   x = 1,504,237,440.25/35,671
6. Step 6: Final answer
   x = 42,169.76