Finding the Third Proportional to 7,969.50 and 12,953.25

Step by Step Solution

1. Step 1: Write the proportion equation
   7,969.50 : 12,953.25 = 12,953.25 : x
2. Step 2: Convert to fraction form
   7,969.50/12,953.25 = 12,953.25/x
3. Step 3: Cross multiply
   7,969.50x = 12,953.25 × 12,953.25
4. Step 4: Simplify right side
   7,969.50x = 167,786,685.56
5. Step 5: Solve for x
   x = 167,786,685.56/7,969.50
6. Step 6: Final answer
   x = 21,053.60