Finding the Third Proportional to 27,468 and 33,421.50

Step by Step Solution

1. Step 1: Write the proportion equation
   27,468 : 33,421.50 = 33,421.50 : x
2. Step 2: Convert to fraction form
   27,468/33,421.50 = 33,421.50/x
3. Step 3: Cross multiply
   27,468x = 33,421.50 × 33,421.50
4. Step 4: Simplify right side
   27,468x = 1,116,996,662.25
5. Step 5: Solve for x
   x = 1,116,996,662.25/27,468
6. Step 6: Final answer
   x = 40,665.38