Finding the Third Proportional to 12,827.53 and 19,189.41

Step by Step Solution

1. Step 1: Write the proportion equation
   12,827.53 : 19,189.41 = 19,189.41 : x
2. Step 2: Convert to fraction form
   12,827.53/19,189.41 = 19,189.41/x
3. Step 3: Cross multiply
   12,827.53x = 19,189.41 × 19,189.41
4. Step 4: Simplify right side
   12,827.53x = 368,233,312.23
5. Step 5: Solve for x
   x = 368,233,312.23/12,827.53
6. Step 6: Final answer
   x = 28,706.48