Finding the Third Proportional to 36,626 and 78,434

Step by Step Solution

1. Step 1: Write the proportion equation
   36,626 : 78,434 = 78,434 : x
2. Step 2: Convert to fraction form
   36,626/78,434 = 78,434/x
3. Step 3: Cross multiply
   36,626x = 78,434 × 78,434
4. Step 4: Simplify right side
   36,626x = 6,151,892,356
5. Step 5: Solve for x
   x = 6,151,892,356/36,626
6. Step 6: Final answer
   x = 167,965.17