Finding the Third Proportional to 38,893.50 and 42,133.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,893.50 : 42,133.50 = 42,133.50 : x
2. Step 2: Convert to fraction form
   38,893.50/42,133.50 = 42,133.50/x
3. Step 3: Cross multiply
   38,893.50x = 42,133.50 × 42,133.50
4. Step 4: Simplify right side
   38,893.50x = 1,775,231,822.25
5. Step 5: Solve for x
   x = 1,775,231,822.25/38,893.50
6. Step 6: Final answer
   x = 45,643.41