Finding the Third Proportional to 37,680 and 58,380

Step by Step Solution

1. Step 1: Write the proportion equation
   37,680 : 58,380 = 58,380 : x
2. Step 2: Convert to fraction form
   37,680/58,380 = 58,380/x
3. Step 3: Cross multiply
   37,680x = 58,380 × 58,380
4. Step 4: Simplify right side
   37,680x = 3,408,224,400
5. Step 5: Solve for x
   x = 3,408,224,400/37,680
6. Step 6: Final answer
   x = 90,451.82