Finding the Third Proportional to 13,972.50 and 21,809.25

Step by Step Solution

1. Step 1: Write the proportion equation
   13,972.50 : 21,809.25 = 21,809.25 : x
2. Step 2: Convert to fraction form
   13,972.50/21,809.25 = 21,809.25/x
3. Step 3: Cross multiply
   13,972.50x = 21,809.25 × 21,809.25
4. Step 4: Simplify right side
   13,972.50x = 475,643,385.56
5. Step 5: Solve for x
   x = 475,643,385.56/13,972.50
6. Step 6: Final answer
   x = 34,041.39