Finding the Third Proportional to 48,176 and 65,632

Step by Step Solution

1. Step 1: Write the proportion equation
   48,176 : 65,632 = 65,632 : x
2. Step 2: Convert to fraction form
   48,176/65,632 = 65,632/x
3. Step 3: Cross multiply
   48,176x = 65,632 × 65,632
4. Step 4: Simplify right side
   48,176x = 4,307,559,424
5. Step 5: Solve for x
   x = 4,307,559,424/48,176
6. Step 6: Final answer
   x = 89,412.97