Finding the Third Proportional to 10,207.50 and 21,970.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,207.50 : 21,970.50 = 21,970.50 : x
2. Step 2: Convert to fraction form
   10,207.50/21,970.50 = 21,970.50/x
3. Step 3: Cross multiply
   10,207.50x = 21,970.50 × 21,970.50
4. Step 4: Simplify right side
   10,207.50x = 482,702,870.25
5. Step 5: Solve for x
   x = 482,702,870.25/10,207.50
6. Step 6: Final answer
   x = 47,289.04