Finding the Third Proportional to 42,847 and 65,899.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42,847 : 65,899.50 = 65,899.50 : x
2. Step 2: Convert to fraction form
   42,847/65,899.50 = 65,899.50/x
3. Step 3: Cross multiply
   42,847x = 65,899.50 × 65,899.50
4. Step 4: Simplify right side
   42,847x = 4,342,744,100.25
5. Step 5: Solve for x
   x = 4,342,744,100.25/42,847
6. Step 6: Final answer
   x = 101,354.68