Finding the Third Proportional to 24,094 and 31,972

Step by Step Solution

1. Step 1: Write the proportion equation
   24,094 : 31,972 = 31,972 : x
2. Step 2: Convert to fraction form
   24,094/31,972 = 31,972/x
3. Step 3: Cross multiply
   24,094x = 31,972 × 31,972
4. Step 4: Simplify right side
   24,094x = 1,022,208,784
5. Step 5: Solve for x
   x = 1,022,208,784/24,094
6. Step 6: Final answer
   x = 42,425.86