Finding the Third Proportional to 19,707.50 and 41,970.50

Step by Step Solution

1. Step 1: Write the proportion equation
   19,707.50 : 41,970.50 = 41,970.50 : x
2. Step 2: Convert to fraction form
   19,707.50/41,970.50 = 41,970.50/x
3. Step 3: Cross multiply
   19,707.50x = 41,970.50 × 41,970.50
4. Step 4: Simplify right side
   19,707.50x = 1,761,522,870.25
5. Step 5: Solve for x
   x = 1,761,522,870.25/19,707.50
6. Step 6: Final answer
   x = 89,383.38