Finding the Third Proportional to 37,846 and 58,564

Step by Step Solution

1. Step 1: Write the proportion equation
   37,846 : 58,564 = 58,564 : x
2. Step 2: Convert to fraction form
   37,846/58,564 = 58,564/x
3. Step 3: Cross multiply
   37,846x = 58,564 × 58,564
4. Step 4: Simplify right side
   37,846x = 3,429,742,096
5. Step 5: Solve for x
   x = 3,429,742,096/37,846
6. Step 6: Final answer
   x = 90,623.64