Finding the Third Proportional to 19,978.50 and 32,184

Step by Step Solution

1. Step 1: Write the proportion equation
   19,978.50 : 32,184 = 32,184 : x
2. Step 2: Convert to fraction form
   19,978.50/32,184 = 32,184/x
3. Step 3: Cross multiply
   19,978.50x = 32,184 × 32,184
4. Step 4: Simplify right side
   19,978.50x = 1,035,809,856
5. Step 5: Solve for x
   x = 1,035,809,856/19,978.50
6. Step 6: Final answer
   x = 51,846.23