Finding the Third Proportional to 37,708 and 78,026

Step by Step Solution

1. Step 1: Write the proportion equation
   37,708 : 78,026 = 78,026 : x
2. Step 2: Convert to fraction form
   37,708/78,026 = 78,026/x
3. Step 3: Cross multiply
   37,708x = 78,026 × 78,026
4. Step 4: Simplify right side
   37,708x = 6,088,056,676
5. Step 5: Solve for x
   x = 6,088,056,676/37,708
6. Step 6: Final answer
   x = 161,452.65