Finding the Third Proportional to 34,690 and 38,335

Step by Step Solution

1. Step 1: Write the proportion equation
   34,690 : 38,335 = 38,335 : x
2. Step 2: Convert to fraction form
   34,690/38,335 = 38,335/x
3. Step 3: Cross multiply
   34,690x = 38,335 × 38,335
4. Step 4: Simplify right side
   34,690x = 1,469,572,225
5. Step 5: Solve for x
   x = 1,469,572,225/34,690
6. Step 6: Final answer
   x = 42,362.99