Finding the Third Proportional to 17,726 and 38,671.75

Step by Step Solution

1. Step 1: Write the proportion equation
   17,726 : 38,671.75 = 38,671.75 : x
2. Step 2: Convert to fraction form
   17,726/38,671.75 = 38,671.75/x
3. Step 3: Cross multiply
   17,726x = 38,671.75 × 38,671.75
4. Step 4: Simplify right side
   17,726x = 1,495,504,248.06
5. Step 5: Solve for x
   x = 1,495,504,248.06/17,726
6. Step 6: Final answer
   x = 84,367.84