Finding the Third Proportional to 65,376 and 101,412

Step by Step Solution

1. Step 1: Write the proportion equation
   65,376 : 101,412 = 101,412 : x
2. Step 2: Convert to fraction form
   65,376/101,412 = 101,412/x
3. Step 3: Cross multiply
   65,376x = 101,412 × 101,412
4. Step 4: Simplify right side
   65,376x = 10,284,393,744
5. Step 5: Solve for x
   x = 10,284,393,744/65,376
6. Step 6: Final answer
   x = 157,311.46