Finding the Third Proportional to 37,677 and 55,362

Step by Step Solution

1. Step 1: Write the proportion equation
   37,677 : 55,362 = 55,362 : x
2. Step 2: Convert to fraction form
   37,677/55,362 = 55,362/x
3. Step 3: Cross multiply
   37,677x = 55,362 × 55,362
4. Step 4: Simplify right side
   37,677x = 3,064,951,044
5. Step 5: Solve for x
   x = 3,064,951,044/37,677
6. Step 6: Final answer
   x = 81,348.06