Finding the Third Proportional to 24,678 and 53,510.63

Step by Step Solution

1. Step 1: Write the proportion equation
   24,678 : 53,510.63 = 53,510.63 : x
2. Step 2: Convert to fraction form
   24,678/53,510.63 = 53,510.63/x
3. Step 3: Cross multiply
   24,678x = 53,510.63 × 53,510.63
4. Step 4: Simplify right side
   24,678x = 2,863,386,987.89
5. Step 5: Solve for x
   x = 2,863,386,987.89/24,678
6. Step 6: Final answer
   x = 116,029.95