Finding the Third Proportional to 21,894 and 33,970.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,894 : 33,970.50 = 33,970.50 : x
2. Step 2: Convert to fraction form
   21,894/33,970.50 = 33,970.50/x
3. Step 3: Cross multiply
   21,894x = 33,970.50 × 33,970.50
4. Step 4: Simplify right side
   21,894x = 1,153,994,870.25
5. Step 5: Solve for x
   x = 1,153,994,870.25/21,894
6. Step 6: Final answer
   x = 52,708.27