Finding the Third Proportional to 10,493.63 and 15,841.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,493.63 : 15,841.50 = 15,841.50 : x
2. Step 2: Convert to fraction form
   10,493.63/15,841.50 = 15,841.50/x
3. Step 3: Cross multiply
   10,493.63x = 15,841.50 × 15,841.50
4. Step 4: Simplify right side
   10,493.63x = 250,953,122.25
5. Step 5: Solve for x
   x = 250,953,122.25/10,493.63
6. Step 6: Final answer
   x = 23,914.82