Finding the Third Proportional to 13,777 and 30,192.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,777 : 30,192.50 = 30,192.50 : x
2. Step 2: Convert to fraction form
   13,777/30,192.50 = 30,192.50/x
3. Step 3: Cross multiply
   13,777x = 30,192.50 × 30,192.50
4. Step 4: Simplify right side
   13,777x = 911,587,056.25
5. Step 5: Solve for x
   x = 911,587,056.25/13,777
6. Step 6: Final answer
   x = 66,167.31