Finding the Third Proportional to 10,019.25 and 15,575.63

Step by Step Solution

1. Step 1: Write the proportion equation
   10,019.25 : 15,575.63 = 15,575.63 : x
2. Step 2: Convert to fraction form
   10,019.25/15,575.63 = 15,575.63/x
3. Step 3: Cross multiply
   10,019.25x = 15,575.63 × 15,575.63
4. Step 4: Simplify right side
   10,019.25x = 242,600,094.14
5. Step 5: Solve for x
   x = 242,600,094.14/10,019.25
6. Step 6: Final answer
   x = 24,213.40