Finding the Third Proportional to 53,968 and 83,778

Step by Step Solution

1. Step 1: Write the proportion equation
   53,968 : 83,778 = 83,778 : x
2. Step 2: Convert to fraction form
   53,968/83,778 = 83,778/x
3. Step 3: Cross multiply
   53,968x = 83,778 × 83,778
4. Step 4: Simplify right side
   53,968x = 7,018,753,284
5. Step 5: Solve for x
   x = 7,018,753,284/53,968
6. Step 6: Final answer
   x = 130,053.98