Finding the Third Proportional to 35,764 and 53,222

Step by Step Solution

1. Step 1: Write the proportion equation
   35,764 : 53,222 = 53,222 : x
2. Step 2: Convert to fraction form
   35,764/53,222 = 53,222/x
3. Step 3: Cross multiply
   35,764x = 53,222 × 53,222
4. Step 4: Simplify right side
   35,764x = 2,832,581,284
5. Step 5: Solve for x
   x = 2,832,581,284/35,764
6. Step 6: Final answer
   x = 79,202.03