Finding the Third Proportional to 19,746 and 47,209.50

Step by Step Solution

1. Step 1: Write the proportion equation
   19,746 : 47,209.50 = 47,209.50 : x
2. Step 2: Convert to fraction form
   19,746/47,209.50 = 47,209.50/x
3. Step 3: Cross multiply
   19,746x = 47,209.50 × 47,209.50
4. Step 4: Simplify right side
   19,746x = 2,228,736,890.25
5. Step 5: Solve for x
   x = 2,228,736,890.25/19,746
6. Step 6: Final answer
   x = 112,870.30