Finding the Third Proportional to 39,980 and 58,434

Step by Step Solution

1. Step 1: Write the proportion equation
   39,980 : 58,434 = 58,434 : x
2. Step 2: Convert to fraction form
   39,980/58,434 = 58,434/x
3. Step 3: Cross multiply
   39,980x = 58,434 × 58,434
4. Step 4: Simplify right side
   39,980x = 3,414,532,356
5. Step 5: Solve for x
   x = 3,414,532,356/39,980
6. Step 6: Final answer
   x = 85,406.01