Finding the Third Proportional to 27,632 and 59,584

Step by Step Solution

1. Step 1: Write the proportion equation
   27,632 : 59,584 = 59,584 : x
2. Step 2: Convert to fraction form
   27,632/59,584 = 59,584/x
3. Step 3: Cross multiply
   27,632x = 59,584 × 59,584
4. Step 4: Simplify right side
   27,632x = 3,550,253,056
5. Step 5: Solve for x
   x = 3,550,253,056/27,632
6. Step 6: Final answer
   x = 128,483.39