Finding the Third Proportional to 31,380 and 65,316

Step by Step Solution

1. Step 1: Write the proportion equation
   31,380 : 65,316 = 65,316 : x
2. Step 2: Convert to fraction form
   31,380/65,316 = 65,316/x
3. Step 3: Cross multiply
   31,380x = 65,316 × 65,316
4. Step 4: Simplify right side
   31,380x = 4,266,179,856
5. Step 5: Solve for x
   x = 4,266,179,856/31,380
6. Step 6: Final answer
   x = 135,952.19