Finding the Third Proportional to 38,138 and 57,699.75

Step by Step Solution

1. Step 1: Write the proportion equation
   38,138 : 57,699.75 = 57,699.75 : x
2. Step 2: Convert to fraction form
   38,138/57,699.75 = 57,699.75/x
3. Step 3: Cross multiply
   38,138x = 57,699.75 × 57,699.75
4. Step 4: Simplify right side
   38,138x = 3,329,261,150.06
5. Step 5: Solve for x
   x = 3,329,261,150.06/38,138
6. Step 6: Final answer
   x = 87,295.12