Finding the Third Proportional to 12,140 and 16,315

Step by Step Solution

1. Step 1: Write the proportion equation
   12,140 : 16,315 = 16,315 : x
2. Step 2: Convert to fraction form
   12,140/16,315 = 16,315/x
3. Step 3: Cross multiply
   12,140x = 16,315 × 16,315
4. Step 4: Simplify right side
   12,140x = 266,179,225
5. Step 5: Solve for x
   x = 266,179,225/12,140
6. Step 6: Final answer
   x = 21,925.80