Finding the Third Proportional to 33,788 and 53,003

Step by Step Solution

1. Step 1: Write the proportion equation
   33,788 : 53,003 = 53,003 : x
2. Step 2: Convert to fraction form
   33,788/53,003 = 53,003/x
3. Step 3: Cross multiply
   33,788x = 53,003 × 53,003
4. Step 4: Simplify right side
   33,788x = 2,809,318,009
5. Step 5: Solve for x
   x = 2,809,318,009/33,788
6. Step 6: Final answer
   x = 83,145.44