Finding the Third Proportional to 42,849 and 65,905.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42,849 : 65,905.50 = 65,905.50 : x
2. Step 2: Convert to fraction form
   42,849/65,905.50 = 65,905.50/x
3. Step 3: Cross multiply
   42,849x = 65,905.50 × 65,905.50
4. Step 4: Simplify right side
   42,849x = 4,343,534,930.25
5. Step 5: Solve for x
   x = 4,343,534,930.25/42,849
6. Step 6: Final answer
   x = 101,368.41