Finding the Third Proportional to 32,116 and 69,796

Step by Step Solution

1. Step 1: Write the proportion equation
   32,116 : 69,796 = 69,796 : x
2. Step 2: Convert to fraction form
   32,116/69,796 = 69,796/x
3. Step 3: Cross multiply
   32,116x = 69,796 × 69,796
4. Step 4: Simplify right side
   32,116x = 4,871,481,616
5. Step 5: Solve for x
   x = 4,871,481,616/32,116
6. Step 6: Final answer
   x = 151,683.95