Finding the Third Proportional to 29,788 and 65,003

Step by Step Solution

1. Step 1: Write the proportion equation
   29,788 : 65,003 = 65,003 : x
2. Step 2: Convert to fraction form
   29,788/65,003 = 65,003/x
3. Step 3: Cross multiply
   29,788x = 65,003 × 65,003
4. Step 4: Simplify right side
   29,788x = 4,225,390,009
5. Step 5: Solve for x
   x = 4,225,390,009/29,788
6. Step 6: Final answer
   x = 141,848.73