Finding the Third Proportional to 38,080 and 57,784

Step by Step Solution

1. Step 1: Write the proportion equation
   38,080 : 57,784 = 57,784 : x
2. Step 2: Convert to fraction form
   38,080/57,784 = 57,784/x
3. Step 3: Cross multiply
   38,080x = 57,784 × 57,784
4. Step 4: Simplify right side
   38,080x = 3,338,990,656
5. Step 5: Solve for x
   x = 3,338,990,656/38,080
6. Step 6: Final answer
   x = 87,683.58