Finding the Third Proportional to 42,778.50 and 65,837.25

Step by Step Solution

1. Step 1: Write the proportion equation
   42,778.50 : 65,837.25 = 65,837.25 : x
2. Step 2: Convert to fraction form
   42,778.50/65,837.25 = 65,837.25/x
3. Step 3: Cross multiply
   42,778.50x = 65,837.25 × 65,837.25
4. Step 4: Simplify right side
   42,778.50x = 4,334,543,487.56
5. Step 5: Solve for x
   x = 4,334,543,487.56/42,778.50
6. Step 6: Final answer
   x = 101,325.28