Finding the Third Proportional to 19,764 and 42,970.50

Step by Step Solution

1. Step 1: Write the proportion equation
   19,764 : 42,970.50 = 42,970.50 : x
2. Step 2: Convert to fraction form
   19,764/42,970.50 = 42,970.50/x
3. Step 3: Cross multiply
   19,764x = 42,970.50 × 42,970.50
4. Step 4: Simplify right side
   19,764x = 1,846,463,870.25
5. Step 5: Solve for x
   x = 1,846,463,870.25/19,764
6. Step 6: Final answer
   x = 93,425.62