Finding the Third Proportional to 37,809 and 56,346

Step by Step Solution

1. Step 1: Write the proportion equation
   37,809 : 56,346 = 56,346 : x
2. Step 2: Convert to fraction form
   37,809/56,346 = 56,346/x
3. Step 3: Cross multiply
   37,809x = 56,346 × 56,346
4. Step 4: Simplify right side
   37,809x = 3,174,871,716
5. Step 5: Solve for x
   x = 3,174,871,716/37,809
6. Step 6: Final answer
   x = 83,971.32