Finding the Third Proportional to 37,408 and 55,776

Step by Step Solution

1. Step 1: Write the proportion equation
   37,408 : 55,776 = 55,776 : x
2. Step 2: Convert to fraction form
   37,408/55,776 = 55,776/x
3. Step 3: Cross multiply
   37,408x = 55,776 × 55,776
4. Step 4: Simplify right side
   37,408x = 3,110,962,176
5. Step 5: Solve for x
   x = 3,110,962,176/37,408
6. Step 6: Final answer
   x = 83,163.02