Finding the Third Proportional to 38,740 and 59,578

Step by Step Solution

1. Step 1: Write the proportion equation
   38,740 : 59,578 = 59,578 : x
2. Step 2: Convert to fraction form
   38,740/59,578 = 59,578/x
3. Step 3: Cross multiply
   38,740x = 59,578 × 59,578
4. Step 4: Simplify right side
   38,740x = 3,549,538,084
5. Step 5: Solve for x
   x = 3,549,538,084/38,740
6. Step 6: Final answer
   x = 91,624.63