Finding the Third Proportional to 6,111 and 12,465

Step by Step Solution

1. Step 1: Write the proportion equation
   6,111 : 12,465 = 12,465 : x
2. Step 2: Convert to fraction form
   6,111/12,465 = 12,465/x
3. Step 3: Cross multiply
   6,111x = 12,465 × 12,465
4. Step 4: Simplify right side
   6,111x = 155,376,225
5. Step 5: Solve for x
   x = 155,376,225/6,111
6. Step 6: Final answer
   x = 25,425.66