Finding the Third Proportional to 37,872 and 56,072

Step by Step Solution

1. Step 1: Write the proportion equation
   37,872 : 56,072 = 56,072 : x
2. Step 2: Convert to fraction form
   37,872/56,072 = 56,072/x
3. Step 3: Cross multiply
   37,872x = 56,072 × 56,072
4. Step 4: Simplify right side
   37,872x = 3,144,069,184
5. Step 5: Solve for x
   x = 3,144,069,184/37,872
6. Step 6: Final answer
   x = 83,018.30