Finding the Third Proportional to 13,827 and 30,354

Step by Step Solution

1. Step 1: Write the proportion equation
   13,827 : 30,354 = 30,354 : x
2. Step 2: Convert to fraction form
   13,827/30,354 = 30,354/x
3. Step 3: Cross multiply
   13,827x = 30,354 × 30,354
4. Step 4: Simplify right side
   13,827x = 921,365,316
5. Step 5: Solve for x
   x = 921,365,316/13,827
6. Step 6: Final answer
   x = 66,635.23