Finding the Third Proportional to 35,948 and 78,004

Step by Step Solution

1. Step 1: Write the proportion equation
   35,948 : 78,004 = 78,004 : x
2. Step 2: Convert to fraction form
   35,948/78,004 = 78,004/x
3. Step 3: Cross multiply
   35,948x = 78,004 × 78,004
4. Step 4: Simplify right side
   35,948x = 6,084,624,016
5. Step 5: Solve for x
   x = 6,084,624,016/35,948
6. Step 6: Final answer
   x = 169,261.82