Finding the Third Proportional to 38,823 and 58,174.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,823 : 58,174.50 = 58,174.50 : x
2. Step 2: Convert to fraction form
   38,823/58,174.50 = 58,174.50/x
3. Step 3: Cross multiply
   38,823x = 58,174.50 × 58,174.50
4. Step 4: Simplify right side
   38,823x = 3,384,272,450.25
5. Step 5: Solve for x
   x = 3,384,272,450.25/38,823
6. Step 6: Final answer
   x = 87,171.84