Finding the Third Proportional to 12,534.75 and 19,490.63

Step by Step Solution

1. Step 1: Write the proportion equation
   12,534.75 : 19,490.63 = 19,490.63 : x
2. Step 2: Convert to fraction form
   12,534.75/19,490.63 = 19,490.63/x
3. Step 3: Cross multiply
   12,534.75x = 19,490.63 × 19,490.63
4. Step 4: Simplify right side
   12,534.75x = 379,884,462.89
5. Step 5: Solve for x
   x = 379,884,462.89/12,534.75
6. Step 6: Final answer
   x = 30,306.50