Finding the Third Proportional to 36,827 and 58,406

Step by Step Solution

1. Step 1: Write the proportion equation
   36,827 : 58,406 = 58,406 : x
2. Step 2: Convert to fraction form
   36,827/58,406 = 58,406/x
3. Step 3: Cross multiply
   36,827x = 58,406 × 58,406
4. Step 4: Simplify right side
   36,827x = 3,411,260,836
5. Step 5: Solve for x
   x = 3,411,260,836/36,827
6. Step 6: Final answer
   x = 92,629.34