Finding the Third Proportional to 35,650 and 78,068

Step by Step Solution

1. Step 1: Write the proportion equation
   35,650 : 78,068 = 78,068 : x
2. Step 2: Convert to fraction form
   35,650/78,068 = 78,068/x
3. Step 3: Cross multiply
   35,650x = 78,068 × 78,068
4. Step 4: Simplify right side
   35,650x = 6,094,612,624
5. Step 5: Solve for x
   x = 6,094,612,624/35,650
6. Step 6: Final answer
   x = 170,956.88