Finding the Third Proportional to 33,126 and 64,584

Step by Step Solution

1. Step 1: Write the proportion equation
   33,126 : 64,584 = 64,584 : x
2. Step 2: Convert to fraction form
   33,126/64,584 = 64,584/x
3. Step 3: Cross multiply
   33,126x = 64,584 × 64,584
4. Step 4: Simplify right side
   33,126x = 4,171,093,056
5. Step 5: Solve for x
   x = 4,171,093,056/33,126
6. Step 6: Final answer
   x = 125,915.99