Finding the Third Proportional to 37,564 and 58,500

Step by Step Solution

1. Step 1: Write the proportion equation
   37,564 : 58,500 = 58,500 : x
2. Step 2: Convert to fraction form
   37,564/58,500 = 58,500/x
3. Step 3: Cross multiply
   37,564x = 58,500 × 58,500
4. Step 4: Simplify right side
   37,564x = 3,422,250,000
5. Step 5: Solve for x
   x = 3,422,250,000/37,564
6. Step 6: Final answer
   x = 91,104.51