Finding the Third Proportional to 37,575 and 56,259

Step by Step Solution

1. Step 1: Write the proportion equation
   37,575 : 56,259 = 56,259 : x
2. Step 2: Convert to fraction form
   37,575/56,259 = 56,259/x
3. Step 3: Cross multiply
   37,575x = 56,259 × 56,259
4. Step 4: Simplify right side
   37,575x = 3,165,075,081
5. Step 5: Solve for x
   x = 3,165,075,081/37,575
6. Step 6: Final answer
   x = 84,233.54