Finding the Third Proportional to 42,120 and 64,584

Step by Step Solution

1. Step 1: Write the proportion equation
   42,120 : 64,584 = 64,584 : x
2. Step 2: Convert to fraction form
   42,120/64,584 = 64,584/x
3. Step 3: Cross multiply
   42,120x = 64,584 × 64,584
4. Step 4: Simplify right side
   42,120x = 4,171,093,056
5. Step 5: Solve for x
   x = 4,171,093,056/42,120
6. Step 6: Final answer
   x = 99,028.80