Finding the Third Proportional to 37,672 and 83,604

Step by Step Solution

1. Step 1: Write the proportion equation
   37,672 : 83,604 = 83,604 : x
2. Step 2: Convert to fraction form
   37,672/83,604 = 83,604/x
3. Step 3: Cross multiply
   37,672x = 83,604 × 83,604
4. Step 4: Simplify right side
   37,672x = 6,989,628,816
5. Step 5: Solve for x
   x = 6,989,628,816/37,672
6. Step 6: Final answer
   x = 185,539.10