Finding the Third Proportional to 35,194 and 71,820

Step by Step Solution

1. Step 1: Write the proportion equation
   35,194 : 71,820 = 71,820 : x
2. Step 2: Convert to fraction form
   35,194/71,820 = 71,820/x
3. Step 3: Cross multiply
   35,194x = 71,820 × 71,820
4. Step 4: Simplify right side
   35,194x = 5,158,112,400
5. Step 5: Solve for x
   x = 5,158,112,400/35,194
6. Step 6: Final answer
   x = 146,562.27