Finding the Third Proportional to 37,599 and 52,564

Step by Step Solution

1. Step 1: Write the proportion equation
   37,599 : 52,564 = 52,564 : x
2. Step 2: Convert to fraction form
   37,599/52,564 = 52,564/x
3. Step 3: Cross multiply
   37,599x = 52,564 × 52,564
4. Step 4: Simplify right side
   37,599x = 2,762,974,096
5. Step 5: Solve for x
   x = 2,762,974,096/37,599
6. Step 6: Final answer
   x = 73,485.31