Finding the Third Proportional to 19,711 and 45,584.50

Step by Step Solution

1. Step 1: Write the proportion equation
   19,711 : 45,584.50 = 45,584.50 : x
2. Step 2: Convert to fraction form
   19,711/45,584.50 = 45,584.50/x
3. Step 3: Cross multiply
   19,711x = 45,584.50 × 45,584.50
4. Step 4: Simplify right side
   19,711x = 2,077,946,640.25
5. Step 5: Solve for x
   x = 2,077,946,640.25/19,711
6. Step 6: Final answer
   x = 105,420.66