Finding the Third Proportional to 19,974.75 and 32,179.50

Step by Step Solution

1. Step 1: Write the proportion equation
   19,974.75 : 32,179.50 = 32,179.50 : x
2. Step 2: Convert to fraction form
   19,974.75/32,179.50 = 32,179.50/x
3. Step 3: Cross multiply
   19,974.75x = 32,179.50 × 32,179.50
4. Step 4: Simplify right side
   19,974.75x = 1,035,520,220.25
5. Step 5: Solve for x
   x = 1,035,520,220.25/19,974.75
6. Step 6: Final answer
   x = 51,841.46