Finding the Third Proportional to 35,760 and 78,522

Step by Step Solution

1. Step 1: Write the proportion equation
   35,760 : 78,522 = 78,522 : x
2. Step 2: Convert to fraction form
   35,760/78,522 = 78,522/x
3. Step 3: Cross multiply
   35,760x = 78,522 × 78,522
4. Step 4: Simplify right side
   35,760x = 6,165,704,484
5. Step 5: Solve for x
   x = 6,165,704,484/35,760
6. Step 6: Final answer
   x = 172,419.03