Finding the Third Proportional to 7,762.50 and 12,345.75

Step by Step Solution

1. Step 1: Write the proportion equation
   7,762.50 : 12,345.75 = 12,345.75 : x
2. Step 2: Convert to fraction form
   7,762.50/12,345.75 = 12,345.75/x
3. Step 3: Cross multiply
   7,762.50x = 12,345.75 × 12,345.75
4. Step 4: Simplify right side
   7,762.50x = 152,417,543.06
5. Step 5: Solve for x
   x = 152,417,543.06/7,762.50
6. Step 6: Final answer
   x = 19,635.11