Finding the Third Proportional to 12,592.13 and 19,283.06

Step by Step Solution

1. Step 1: Write the proportion equation
   12,592.13 : 19,283.06 = 19,283.06 : x
2. Step 2: Convert to fraction form
   12,592.13/19,283.06 = 19,283.06/x
3. Step 3: Cross multiply
   12,592.13x = 19,283.06 × 19,283.06
4. Step 4: Simplify right side
   12,592.13x = 371,836,499.38
5. Step 5: Solve for x
   x = 371,836,499.38/12,592.13
6. Step 6: Final answer
   x = 29,529.29