Finding the Third Proportional to 35,946 and 55,172

Step by Step Solution

1. Step 1: Write the proportion equation
   35,946 : 55,172 = 55,172 : x
2. Step 2: Convert to fraction form
   35,946/55,172 = 55,172/x
3. Step 3: Cross multiply
   35,946x = 55,172 × 55,172
4. Step 4: Simplify right side
   35,946x = 3,043,949,584
5. Step 5: Solve for x
   x = 3,043,949,584/35,946
6. Step 6: Final answer
   x = 84,681.18