Finding the Third Proportional to 38,158 and 58,370

Step by Step Solution

1. Step 1: Write the proportion equation
   38,158 : 58,370 = 58,370 : x
2. Step 2: Convert to fraction form
   38,158/58,370 = 58,370/x
3. Step 3: Cross multiply
   38,158x = 58,370 × 58,370
4. Step 4: Simplify right side
   38,158x = 3,407,056,900
5. Step 5: Solve for x
   x = 3,407,056,900/38,158
6. Step 6: Final answer
   x = 89,288.14