Finding the Third Proportional to 35,768 and 53,229

Step by Step Solution

1. Step 1: Write the proportion equation
   35,768 : 53,229 = 53,229 : x
2. Step 2: Convert to fraction form
   35,768/53,229 = 53,229/x
3. Step 3: Cross multiply
   35,768x = 53,229 × 53,229
4. Step 4: Simplify right side
   35,768x = 2,833,326,441
5. Step 5: Solve for x
   x = 2,833,326,441/35,768
6. Step 6: Final answer
   x = 79,214.00