Finding the Third Proportional to 35,816 and 62,172

Step by Step Solution

1. Step 1: Write the proportion equation
   35,816 : 62,172 = 62,172 : x
2. Step 2: Convert to fraction form
   35,816/62,172 = 62,172/x
3. Step 3: Cross multiply
   35,816x = 62,172 × 62,172
4. Step 4: Simplify right side
   35,816x = 3,865,357,584
5. Step 5: Solve for x
   x = 3,865,357,584/35,816
6. Step 6: Final answer
   x = 107,922.65