Finding the Third Proportional to 35,726 and 78,362

Step by Step Solution

1. Step 1: Write the proportion equation
   35,726 : 78,362 = 78,362 : x
2. Step 2: Convert to fraction form
   35,726/78,362 = 78,362/x
3. Step 3: Cross multiply
   35,726x = 78,362 × 78,362
4. Step 4: Simplify right side
   35,726x = 6,140,603,044
5. Step 5: Solve for x
   x = 6,140,603,044/35,726
6. Step 6: Final answer
   x = 171,880.51