Finding the Third Proportional to 39,977 and 88,003

Step by Step Solution

1. Step 1: Write the proportion equation
   39,977 : 88,003 = 88,003 : x
2. Step 2: Convert to fraction form
   39,977/88,003 = 88,003/x
3. Step 3: Cross multiply
   39,977x = 88,003 × 88,003
4. Step 4: Simplify right side
   39,977x = 7,744,528,009
5. Step 5: Solve for x
   x = 7,744,528,009/39,977
6. Step 6: Final answer
   x = 193,724.59