Finding the Third Proportional to 37,362 and 56,489

Step by Step Solution

1. Step 1: Write the proportion equation
   37,362 : 56,489 = 56,489 : x
2. Step 2: Convert to fraction form
   37,362/56,489 = 56,489/x
3. Step 3: Cross multiply
   37,362x = 56,489 × 56,489
4. Step 4: Simplify right side
   37,362x = 3,191,007,121
5. Step 5: Solve for x
   x = 3,191,007,121/37,362
6. Step 6: Final answer
   x = 85,407.82