Finding the Third Proportional to 13,024.13 and 19,598.63

Step by Step Solution

1. Step 1: Write the proportion equation
   13,024.13 : 19,598.63 = 19,598.63 : x
2. Step 2: Convert to fraction form
   13,024.13/19,598.63 = 19,598.63/x
3. Step 3: Cross multiply
   13,024.13x = 19,598.63 × 19,598.63
4. Step 4: Simplify right side
   13,024.13x = 384,106,101.89
5. Step 5: Solve for x
   x = 384,106,101.89/13,024.13
6. Step 6: Final answer
   x = 29,491.89