Finding the Third Proportional to 41,969 and 64,047

Step by Step Solution

1. Step 1: Write the proportion equation
   41,969 : 64,047 = 64,047 : x
2. Step 2: Convert to fraction form
   41,969/64,047 = 64,047/x
3. Step 3: Cross multiply
   41,969x = 64,047 × 64,047
4. Step 4: Simplify right side
   41,969x = 4,102,018,209
5. Step 5: Solve for x
   x = 4,102,018,209/41,969
6. Step 6: Final answer
   x = 97,739.24