Finding the Third Proportional to 43,231 and 64,846

Step by Step Solution

1. Step 1: Write the proportion equation
   43,231 : 64,846 = 64,846 : x
2. Step 2: Convert to fraction form
   43,231/64,846 = 64,846/x
3. Step 3: Cross multiply
   43,231x = 64,846 × 64,846
4. Step 4: Simplify right side
   43,231x = 4,205,003,716
5. Step 5: Solve for x
   x = 4,205,003,716/43,231
6. Step 6: Final answer
   x = 97,268.25