Finding the Third Proportional to 48,510 and 65,196

Step by Step Solution

1. Step 1: Write the proportion equation
   48,510 : 65,196 = 65,196 : x
2. Step 2: Convert to fraction form
   48,510/65,196 = 65,196/x
3. Step 3: Cross multiply
   48,510x = 65,196 × 65,196
4. Step 4: Simplify right side
   48,510x = 4,250,518,416
5. Step 5: Solve for x
   x = 4,250,518,416/48,510
6. Step 6: Final answer
   x = 87,621.49