Finding the Third Proportional to 38,378.25 and 59,205.38

Step by Step Solution

1. Step 1: Write the proportion equation
   38,378.25 : 59,205.38 = 59,205.38 : x
2. Step 2: Convert to fraction form
   38,378.25/59,205.38 = 59,205.38/x
3. Step 3: Cross multiply
   38,378.25x = 59,205.38 × 59,205.38
4. Step 4: Simplify right side
   38,378.25x = 3,505,276,428.89
5. Step 5: Solve for x
   x = 3,505,276,428.89/38,378.25
6. Step 6: Final answer
   x = 91,334.97