Finding the Third Proportional to 30,588 and 64,632

Step by Step Solution

1. Step 1: Write the proportion equation
   30,588 : 64,632 = 64,632 : x
2. Step 2: Convert to fraction form
   30,588/64,632 = 64,632/x
3. Step 3: Cross multiply
   30,588x = 64,632 × 64,632
4. Step 4: Simplify right side
   30,588x = 4,177,295,424
5. Step 5: Solve for x
   x = 4,177,295,424/30,588
6. Step 6: Final answer
   x = 136,566.48