Finding the Third Proportional to 8,111 and 12,527

Step by Step Solution

1. Step 1: Write the proportion equation
   8,111 : 12,527 = 12,527 : x
2. Step 2: Convert to fraction form
   8,111/12,527 = 12,527/x
3. Step 3: Cross multiply
   8,111x = 12,527 × 12,527
4. Step 4: Simplify right side
   8,111x = 156,925,729
5. Step 5: Solve for x
   x = 156,925,729/8,111
6. Step 6: Final answer
   x = 19,347.27