Finding the Third Proportional to 37,412 and 55,782

Step by Step Solution

1. Step 1: Write the proportion equation
   37,412 : 55,782 = 55,782 : x
2. Step 2: Convert to fraction form
   37,412/55,782 = 55,782/x
3. Step 3: Cross multiply
   37,412x = 55,782 × 55,782
4. Step 4: Simplify right side
   37,412x = 3,111,631,524
5. Step 5: Solve for x
   x = 3,111,631,524/37,412
6. Step 6: Final answer
   x = 83,172.02