Finding the Third Proportional to 37,564 and 58,134

Step by Step Solution

1. Step 1: Write the proportion equation
   37,564 : 58,134 = 58,134 : x
2. Step 2: Convert to fraction form
   37,564/58,134 = 58,134/x
3. Step 3: Cross multiply
   37,564x = 58,134 × 58,134
4. Step 4: Simplify right side
   37,564x = 3,379,561,956
5. Step 5: Solve for x
   x = 3,379,561,956/37,564
6. Step 6: Final answer
   x = 89,968.11