Finding the Third Proportional to 37,080 and 56,538

Step by Step Solution

1. Step 1: Write the proportion equation
   37,080 : 56,538 = 56,538 : x
2. Step 2: Convert to fraction form
   37,080/56,538 = 56,538/x
3. Step 3: Cross multiply
   37,080x = 56,538 × 56,538
4. Step 4: Simplify right side
   37,080x = 3,196,545,444
5. Step 5: Solve for x
   x = 3,196,545,444/37,080
6. Step 6: Final answer
   x = 86,206.73