Finding the Third Proportional to 37,854 and 78,138

Step by Step Solution

1. Step 1: Write the proportion equation
   37,854 : 78,138 = 78,138 : x
2. Step 2: Convert to fraction form
   37,854/78,138 = 78,138/x
3. Step 3: Cross multiply
   37,854x = 78,138 × 78,138
4. Step 4: Simplify right side
   37,854x = 6,105,547,044
5. Step 5: Solve for x
   x = 6,105,547,044/37,854
6. Step 6: Final answer
   x = 161,291.99