Finding the Third Proportional to 12,146 and 19,315

Step by Step Solution

1. Step 1: Write the proportion equation
   12,146 : 19,315 = 19,315 : x
2. Step 2: Convert to fraction form
   12,146/19,315 = 19,315/x
3. Step 3: Cross multiply
   12,146x = 19,315 × 19,315
4. Step 4: Simplify right side
   12,146x = 373,069,225
5. Step 5: Solve for x
   x = 373,069,225/12,146
6. Step 6: Final answer
   x = 30,715.40