Finding the Third Proportional to 7,976.25 and 12,533.63

Step by Step Solution

1. Step 1: Write the proportion equation
   7,976.25 : 12,533.63 = 12,533.63 : x
2. Step 2: Convert to fraction form
   7,976.25/12,533.63 = 12,533.63/x
3. Step 3: Cross multiply
   7,976.25x = 12,533.63 × 12,533.63
4. Step 4: Simplify right side
   7,976.25x = 157,091,755.64
5. Step 5: Solve for x
   x = 157,091,755.64/7,976.25
6. Step 6: Final answer
   x = 19,694.94