Finding the Third Proportional to 12,568.50 and 19,471.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,568.50 : 19,471.50 = 19,471.50 : x
2. Step 2: Convert to fraction form
   12,568.50/19,471.50 = 19,471.50/x
3. Step 3: Cross multiply
   12,568.50x = 19,471.50 × 19,471.50
4. Step 4: Simplify right side
   12,568.50x = 379,139,312.25
5. Step 5: Solve for x
   x = 379,139,312.25/12,568.50
6. Step 6: Final answer
   x = 30,165.84