Finding the Third Proportional to 38,156 and 58,369

Step by Step Solution

1. Step 1: Write the proportion equation
   38,156 : 58,369 = 58,369 : x
2. Step 2: Convert to fraction form
   38,156/58,369 = 58,369/x
3. Step 3: Cross multiply
   38,156x = 58,369 × 58,369
4. Step 4: Simplify right side
   38,156x = 3,406,940,161
5. Step 5: Solve for x
   x = 3,406,940,161/38,156
6. Step 6: Final answer
   x = 89,289.76