Finding the Third Proportional to 19,827 and 43,213.50

Step by Step Solution

1. Step 1: Write the proportion equation
   19,827 : 43,213.50 = 43,213.50 : x
2. Step 2: Convert to fraction form
   19,827/43,213.50 = 43,213.50/x
3. Step 3: Cross multiply
   19,827x = 43,213.50 × 43,213.50
4. Step 4: Simplify right side
   19,827x = 1,867,406,582.25
5. Step 5: Solve for x
   x = 1,867,406,582.25/19,827
6. Step 6: Final answer
   x = 94,185.03