Finding the Third Proportional to 42,311 and 65,301

Step by Step Solution

1. Step 1: Write the proportion equation
   42,311 : 65,301 = 65,301 : x
2. Step 2: Convert to fraction form
   42,311/65,301 = 65,301/x
3. Step 3: Cross multiply
   42,311x = 65,301 × 65,301
4. Step 4: Simplify right side
   42,311x = 4,264,220,601
5. Step 5: Solve for x
   x = 4,264,220,601/42,311
6. Step 6: Final answer
   x = 100,782.79