Finding the Third Proportional to 5,346 and 10,024.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,346 : 10,024.50 = 10,024.50 : x
2. Step 2: Convert to fraction form
   5,346/10,024.50 = 10,024.50/x
3. Step 3: Cross multiply
   5,346x = 10,024.50 × 10,024.50
4. Step 4: Simplify right side
   5,346x = 100,490,600.25
5. Step 5: Solve for x
   x = 100,490,600.25/5,346
6. Step 6: Final answer
   x = 18,797.34