Finding the Third Proportional to 37,114 and 76,814

Step by Step Solution

1. Step 1: Write the proportion equation
   37,114 : 76,814 = 76,814 : x
2. Step 2: Convert to fraction form
   37,114/76,814 = 76,814/x
3. Step 3: Cross multiply
   37,114x = 76,814 × 76,814
4. Step 4: Simplify right side
   37,114x = 5,900,390,596
5. Step 5: Solve for x
   x = 5,900,390,596/37,114
6. Step 6: Final answer
   x = 158,980.19