Finding the Third Proportional to 37,208 and 55,840

Step by Step Solution

1. Step 1: Write the proportion equation
   37,208 : 55,840 = 55,840 : x
2. Step 2: Convert to fraction form
   37,208/55,840 = 55,840/x
3. Step 3: Cross multiply
   37,208x = 55,840 × 55,840
4. Step 4: Simplify right side
   37,208x = 3,118,105,600
5. Step 5: Solve for x
   x = 3,118,105,600/37,208
6. Step 6: Final answer
   x = 83,802.02