Finding the Third Proportional to 37,587 and 78,819

Step by Step Solution

1. Step 1: Write the proportion equation
   37,587 : 78,819 = 78,819 : x
2. Step 2: Convert to fraction form
   37,587/78,819 = 78,819/x
3. Step 3: Cross multiply
   37,587x = 78,819 × 78,819
4. Step 4: Simplify right side
   37,587x = 6,212,434,761
5. Step 5: Solve for x
   x = 6,212,434,761/37,587
6. Step 6: Final answer
   x = 165,281.47