Finding the Third Proportional to 42,972 and 64,771

Step by Step Solution

1. Step 1: Write the proportion equation
   42,972 : 64,771 = 64,771 : x
2. Step 2: Convert to fraction form
   42,972/64,771 = 64,771/x
3. Step 3: Cross multiply
   42,972x = 64,771 × 64,771
4. Step 4: Simplify right side
   42,972x = 4,195,282,441
5. Step 5: Solve for x
   x = 4,195,282,441/42,972
6. Step 6: Final answer
   x = 97,628.28