Finding the Third Proportional to 53,856 and 77,094

Step by Step Solution

1. Step 1: Write the proportion equation
   53,856 : 77,094 = 77,094 : x
2. Step 2: Convert to fraction form
   53,856/77,094 = 77,094/x
3. Step 3: Cross multiply
   53,856x = 77,094 × 77,094
4. Step 4: Simplify right side
   53,856x = 5,943,484,836
5. Step 5: Solve for x
   x = 5,943,484,836/53,856
6. Step 6: Final answer
   x = 110,358.82