Finding the Third Proportional to 7,830 and 12,453

Step by Step Solution

1. Step 1: Write the proportion equation
   7,830 : 12,453 = 12,453 : x
2. Step 2: Convert to fraction form
   7,830/12,453 = 12,453/x
3. Step 3: Cross multiply
   7,830x = 12,453 × 12,453
4. Step 4: Simplify right side
   7,830x = 155,077,209
5. Step 5: Solve for x
   x = 155,077,209/7,830
6. Step 6: Final answer
   x = 19,805.52