Finding the Third Proportional to 19,626 and 31,594.50

Step by Step Solution

1. Step 1: Write the proportion equation
   19,626 : 31,594.50 = 31,594.50 : x
2. Step 2: Convert to fraction form
   19,626/31,594.50 = 31,594.50/x
3. Step 3: Cross multiply
   19,626x = 31,594.50 × 31,594.50
4. Step 4: Simplify right side
   19,626x = 998,212,430.25
5. Step 5: Solve for x
   x = 998,212,430.25/19,626
6. Step 6: Final answer
   x = 50,861.74