Finding the Third Proportional to 35,672 and 78,112

Step by Step Solution

1. Step 1: Write the proportion equation
   35,672 : 78,112 = 78,112 : x
2. Step 2: Convert to fraction form
   35,672/78,112 = 78,112/x
3. Step 3: Cross multiply
   35,672x = 78,112 × 78,112
4. Step 4: Simplify right side
   35,672x = 6,101,484,544
5. Step 5: Solve for x
   x = 6,101,484,544/35,672
6. Step 6: Final answer
   x = 171,044.08