Finding the Third Proportional to 35,106 and 55,164

Step by Step Solution

1. Step 1: Write the proportion equation
   35,106 : 55,164 = 55,164 : x
2. Step 2: Convert to fraction form
   35,106/55,164 = 55,164/x
3. Step 3: Cross multiply
   35,106x = 55,164 × 55,164
4. Step 4: Simplify right side
   35,106x = 3,043,066,896
5. Step 5: Solve for x
   x = 3,043,066,896/35,106
6. Step 6: Final answer
   x = 86,682.25