Finding the Third Proportional to 37,862 and 78,828

Step by Step Solution

1. Step 1: Write the proportion equation
   37,862 : 78,828 = 78,828 : x
2. Step 2: Convert to fraction form
   37,862/78,828 = 78,828/x
3. Step 3: Cross multiply
   37,862x = 78,828 × 78,828
4. Step 4: Simplify right side
   37,862x = 6,213,853,584
5. Step 5: Solve for x
   x = 6,213,853,584/37,862
6. Step 6: Final answer
   x = 164,118.47