Finding the Third Proportional to 7,762.50 and 12,359.25

Step by Step Solution

1. Step 1: Write the proportion equation
   7,762.50 : 12,359.25 = 12,359.25 : x
2. Step 2: Convert to fraction form
   7,762.50/12,359.25 = 12,359.25/x
3. Step 3: Cross multiply
   7,762.50x = 12,359.25 × 12,359.25
4. Step 4: Simplify right side
   7,762.50x = 152,751,060.56
5. Step 5: Solve for x
   x = 152,751,060.56/7,762.50
6. Step 6: Final answer
   x = 19,678.08