Finding the Third Proportional to 37,082 and 56,541

Step by Step Solution

1. Step 1: Write the proportion equation
   37,082 : 56,541 = 56,541 : x
2. Step 2: Convert to fraction form
   37,082/56,541 = 56,541/x
3. Step 3: Cross multiply
   37,082x = 56,541 × 56,541
4. Step 4: Simplify right side
   37,082x = 3,196,884,681
5. Step 5: Solve for x
   x = 3,196,884,681/37,082
6. Step 6: Final answer
   x = 86,211.23