Finding the Third Proportional to 47,641 and 65,386.50

Step by Step Solution

1. Step 1: Write the proportion equation
   47,641 : 65,386.50 = 65,386.50 : x
2. Step 2: Convert to fraction form
   47,641/65,386.50 = 65,386.50/x
3. Step 3: Cross multiply
   47,641x = 65,386.50 × 65,386.50
4. Step 4: Simplify right side
   47,641x = 4,275,394,382.25
5. Step 5: Solve for x
   x = 4,275,394,382.25/47,641
6. Step 6: Final answer
   x = 89,741.91