Finding the Third Proportional to 35,464 and 72,548

Step by Step Solution

1. Step 1: Write the proportion equation
   35,464 : 72,548 = 72,548 : x
2. Step 2: Convert to fraction form
   35,464/72,548 = 72,548/x
3. Step 3: Cross multiply
   35,464x = 72,548 × 72,548
4. Step 4: Simplify right side
   35,464x = 5,263,212,304
5. Step 5: Solve for x
   x = 5,263,212,304/35,464
6. Step 6: Final answer
   x = 148,410.00