Finding the Third Proportional to 12,561.56 and 19,534.13

Step by Step Solution

1. Step 1: Write the proportion equation
   12,561.56 : 19,534.13 = 19,534.13 : x
2. Step 2: Convert to fraction form
   12,561.56/19,534.13 = 19,534.13/x
3. Step 3: Cross multiply
   12,561.56x = 19,534.13 × 19,534.13
4. Step 4: Simplify right side
   12,561.56x = 381,582,039.52
5. Step 5: Solve for x
   x = 381,582,039.52/12,561.56
6. Step 6: Final answer
   x = 30,376.96