Finding the Third Proportional to 13,971 and 21,895.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,971 : 21,895.50 = 21,895.50 : x
2. Step 2: Convert to fraction form
   13,971/21,895.50 = 21,895.50/x
3. Step 3: Cross multiply
   13,971x = 21,895.50 × 21,895.50
4. Step 4: Simplify right side
   13,971x = 479,412,920.25
5. Step 5: Solve for x
   x = 479,412,920.25/13,971
6. Step 6: Final answer
   x = 34,314.86