Finding the Third Proportional to 13,878 and 29,971.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,878 : 29,971.50 = 29,971.50 : x
2. Step 2: Convert to fraction form
   13,878/29,971.50 = 29,971.50/x
3. Step 3: Cross multiply
   13,878x = 29,971.50 × 29,971.50
4. Step 4: Simplify right side
   13,878x = 898,290,812.25
5. Step 5: Solve for x
   x = 898,290,812.25/13,878
6. Step 6: Final answer
   x = 64,727.68