Finding the Third Proportional to 38,648 and 58,510

Step by Step Solution

1. Step 1: Write the proportion equation
   38,648 : 58,510 = 58,510 : x
2. Step 2: Convert to fraction form
   38,648/58,510 = 58,510/x
3. Step 3: Cross multiply
   38,648x = 58,510 × 58,510
4. Step 4: Simplify right side
   38,648x = 3,423,420,100
5. Step 5: Solve for x
   x = 3,423,420,100/38,648
6. Step 6: Final answer
   x = 88,579.49