Finding the Third Proportional to 42,616 and 65,181

Step by Step Solution

1. Step 1: Write the proportion equation
   42,616 : 65,181 = 65,181 : x
2. Step 2: Convert to fraction form
   42,616/65,181 = 65,181/x
3. Step 3: Cross multiply
   42,616x = 65,181 × 65,181
4. Step 4: Simplify right side
   42,616x = 4,248,562,761
5. Step 5: Solve for x
   x = 4,248,562,761/42,616
6. Step 6: Final answer
   x = 99,694.08