Finding the Third Proportional to 38,346 and 56,230

Step by Step Solution

1. Step 1: Write the proportion equation
   38,346 : 56,230 = 56,230 : x
2. Step 2: Convert to fraction form
   38,346/56,230 = 56,230/x
3. Step 3: Cross multiply
   38,346x = 56,230 × 56,230
4. Step 4: Simplify right side
   38,346x = 3,161,812,900
5. Step 5: Solve for x
   x = 3,161,812,900/38,346
6. Step 6: Final answer
   x = 82,454.83