Finding the Third Proportional to 35,820 and 72,340

Step by Step Solution

1. Step 1: Write the proportion equation
   35,820 : 72,340 = 72,340 : x
2. Step 2: Convert to fraction form
   35,820/72,340 = 72,340/x
3. Step 3: Cross multiply
   35,820x = 72,340 × 72,340
4. Step 4: Simplify right side
   35,820x = 5,233,075,600
5. Step 5: Solve for x
   x = 5,233,075,600/35,820
6. Step 6: Final answer
   x = 146,093.68