Finding the Third Proportional to 37,734.50 and 55,732

Step by Step Solution

1. Step 1: Write the proportion equation
   37,734.50 : 55,732 = 55,732 : x
2. Step 2: Convert to fraction form
   37,734.50/55,732 = 55,732/x
3. Step 3: Cross multiply
   37,734.50x = 55,732 × 55,732
4. Step 4: Simplify right side
   37,734.50x = 3,106,055,824
5. Step 5: Solve for x
   x = 3,106,055,824/37,734.50
6. Step 6: Final answer
   x = 82,313.42