Finding the Third Proportional to 7,830 and 12,501

Step by Step Solution

1. Step 1: Write the proportion equation
   7,830 : 12,501 = 12,501 : x
2. Step 2: Convert to fraction form
   7,830/12,501 = 12,501/x
3. Step 3: Cross multiply
   7,830x = 12,501 × 12,501
4. Step 4: Simplify right side
   7,830x = 156,275,001
5. Step 5: Solve for x
   x = 156,275,001/7,830
6. Step 6: Final answer
   x = 19,958.49