Finding the Third Proportional to 27,972.75 and 42,689.63

Step by Step Solution

1. Step 1: Write the proportion equation
   27,972.75 : 42,689.63 = 42,689.63 : x
2. Step 2: Convert to fraction form
   27,972.75/42,689.63 = 42,689.63/x
3. Step 3: Cross multiply
   27,972.75x = 42,689.63 × 42,689.63
4. Step 4: Simplify right side
   27,972.75x = 1,822,404,082.64
5. Step 5: Solve for x
   x = 1,822,404,082.64/27,972.75
6. Step 6: Final answer
   x = 65,149.26