Finding the Third Proportional to 19,641 and 30,460.50

Step by Step Solution

1. Step 1: Write the proportion equation
   19,641 : 30,460.50 = 30,460.50 : x
2. Step 2: Convert to fraction form
   19,641/30,460.50 = 30,460.50/x
3. Step 3: Cross multiply
   19,641x = 30,460.50 × 30,460.50
4. Step 4: Simplify right side
   19,641x = 927,842,060.25
5. Step 5: Solve for x
   x = 927,842,060.25/19,641
6. Step 6: Final answer
   x = 47,240.06