Finding the Third Proportional to 35,478 and 53,222.06

Step by Step Solution

1. Step 1: Write the proportion equation
   35,478 : 53,222.06 = 53,222.06 : x
2. Step 2: Convert to fraction form
   35,478/53,222.06 = 53,222.06/x
3. Step 3: Cross multiply
   35,478x = 53,222.06 × 53,222.06
4. Step 4: Simplify right side
   35,478x = 2,832,587,936.75
5. Step 5: Solve for x
   x = 2,832,587,936.75/35,478
6. Step 6: Final answer
   x = 79,840.69