Finding the Third Proportional to 35,700 and 53,442

Step by Step Solution

1. Step 1: Write the proportion equation
   35,700 : 53,442 = 53,442 : x
2. Step 2: Convert to fraction form
   35,700/53,442 = 53,442/x
3. Step 3: Cross multiply
   35,700x = 53,442 × 53,442
4. Step 4: Simplify right side
   35,700x = 2,856,047,364
5. Step 5: Solve for x
   x = 2,856,047,364/35,700
6. Step 6: Final answer
   x = 80,001.33