Finding the Third Proportional to 38,944 and 59,185

Step by Step Solution

1. Step 1: Write the proportion equation
   38,944 : 59,185 = 59,185 : x
2. Step 2: Convert to fraction form
   38,944/59,185 = 59,185/x
3. Step 3: Cross multiply
   38,944x = 59,185 × 59,185
4. Step 4: Simplify right side
   38,944x = 3,502,864,225
5. Step 5: Solve for x
   x = 3,502,864,225/38,944
6. Step 6: Final answer
   x = 89,946.18