Finding the Third Proportional to 38,464 and 56,330

Step by Step Solution

1. Step 1: Write the proportion equation
   38,464 : 56,330 = 56,330 : x
2. Step 2: Convert to fraction form
   38,464/56,330 = 56,330/x
3. Step 3: Cross multiply
   38,464x = 56,330 × 56,330
4. Step 4: Simplify right side
   38,464x = 3,173,068,900
5. Step 5: Solve for x
   x = 3,173,068,900/38,464
6. Step 6: Final answer
   x = 82,494.51