Finding the Third Proportional to 37,380 and 58,014

Step by Step Solution

1. Step 1: Write the proportion equation
   37,380 : 58,014 = 58,014 : x
2. Step 2: Convert to fraction form
   37,380/58,014 = 58,014/x
3. Step 3: Cross multiply
   37,380x = 58,014 × 58,014
4. Step 4: Simplify right side
   37,380x = 3,365,624,196
5. Step 5: Solve for x
   x = 3,365,624,196/37,380
6. Step 6: Final answer
   x = 90,038.10