Finding the Third Proportional to 12,111 and 19,264.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,111 : 19,264.50 = 19,264.50 : x
2. Step 2: Convert to fraction form
   12,111/19,264.50 = 19,264.50/x
3. Step 3: Cross multiply
   12,111x = 19,264.50 × 19,264.50
4. Step 4: Simplify right side
   12,111x = 371,120,960.25
5. Step 5: Solve for x
   x = 371,120,960.25/12,111
6. Step 6: Final answer
   x = 30,643.30