Finding the Third Proportional to 21,895 and 33,971.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,895 : 33,971.50 = 33,971.50 : x
2. Step 2: Convert to fraction form
   21,895/33,971.50 = 33,971.50/x
3. Step 3: Cross multiply
   21,895x = 33,971.50 × 33,971.50
4. Step 4: Simplify right side
   21,895x = 1,154,062,812.25
5. Step 5: Solve for x
   x = 1,154,062,812.25/21,895
6. Step 6: Final answer
   x = 52,708.97