Finding the Third Proportional to 27,972 and 42,312.38

Step by Step Solution

1. Step 1: Write the proportion equation
   27,972 : 42,312.38 = 42,312.38 : x
2. Step 2: Convert to fraction form
   27,972/42,312.38 = 42,312.38/x
3. Step 3: Cross multiply
   27,972x = 42,312.38 × 42,312.38
4. Step 4: Simplify right side
   27,972x = 1,790,337,078.14
5. Step 5: Solve for x
   x = 1,790,337,078.14/27,972
6. Step 6: Final answer
   x = 64,004.61