Finding the Third Proportional to 38,780 and 58,462

Step by Step Solution

1. Step 1: Write the proportion equation
   38,780 : 58,462 = 58,462 : x
2. Step 2: Convert to fraction form
   38,780/58,462 = 58,462/x
3. Step 3: Cross multiply
   38,780x = 58,462 × 58,462
4. Step 4: Simplify right side
   38,780x = 3,417,805,444
5. Step 5: Solve for x
   x = 3,417,805,444/38,780
6. Step 6: Final answer
   x = 88,133.20