Finding the Third Proportional to 16,974 and 37,308.50

Step by Step Solution

1. Step 1: Write the proportion equation
   16,974 : 37,308.50 = 37,308.50 : x
2. Step 2: Convert to fraction form
   16,974/37,308.50 = 37,308.50/x
3. Step 3: Cross multiply
   16,974x = 37,308.50 × 37,308.50
4. Step 4: Simplify right side
   16,974x = 1,391,924,172.25
5. Step 5: Solve for x
   x = 1,391,924,172.25/16,974
6. Step 6: Final answer
   x = 82,003.31