Finding the Third Proportional to 35,464 and 72,754

Step by Step Solution

1. Step 1: Write the proportion equation
   35,464 : 72,754 = 72,754 : x
2. Step 2: Convert to fraction form
   35,464/72,754 = 72,754/x
3. Step 3: Cross multiply
   35,464x = 72,754 × 72,754
4. Step 4: Simplify right side
   35,464x = 5,293,144,516
5. Step 5: Solve for x
   x = 5,293,144,516/35,464
6. Step 6: Final answer
   x = 149,254.02