Finding the Third Proportional to 10,486.50 and 16,094.63

Step by Step Solution

1. Step 1: Write the proportion equation
   10,486.50 : 16,094.63 = 16,094.63 : x
2. Step 2: Convert to fraction form
   10,486.50/16,094.63 = 16,094.63/x
3. Step 3: Cross multiply
   10,486.50x = 16,094.63 × 16,094.63
4. Step 4: Simplify right side
   10,486.50x = 259,036,953.89
5. Step 5: Solve for x
   x = 259,036,953.89/10,486.50
6. Step 6: Final answer
   x = 24,701.95