Finding the Third Proportional to 21,507 and 32,584

Step by Step Solution

1. Step 1: Write the proportion equation
   21,507 : 32,584 = 32,584 : x
2. Step 2: Convert to fraction form
   21,507/32,584 = 32,584/x
3. Step 3: Cross multiply
   21,507x = 32,584 × 32,584
4. Step 4: Simplify right side
   21,507x = 1,061,717,056
5. Step 5: Solve for x
   x = 1,061,717,056/21,507
6. Step 6: Final answer
   x = 49,366.12