Finding the Third Proportional to 35,645 and 72,154

Step by Step Solution

1. Step 1: Write the proportion equation
   35,645 : 72,154 = 72,154 : x
2. Step 2: Convert to fraction form
   35,645/72,154 = 72,154/x
3. Step 3: Cross multiply
   35,645x = 72,154 × 72,154
4. Step 4: Simplify right side
   35,645x = 5,206,199,716
5. Step 5: Solve for x
   x = 5,206,199,716/35,645
6. Step 6: Final answer
   x = 146,056.94