Finding the Third Proportional to 37,760 and 58,584

Step by Step Solution

1. Step 1: Write the proportion equation
   37,760 : 58,584 = 58,584 : x
2. Step 2: Convert to fraction form
   37,760/58,584 = 58,584/x
3. Step 3: Cross multiply
   37,760x = 58,584 × 58,584
4. Step 4: Simplify right side
   37,760x = 3,432,085,056
5. Step 5: Solve for x
   x = 3,432,085,056/37,760
6. Step 6: Final answer
   x = 90,892.08