Finding the Third Proportional to 38,322 and 59,814

Step by Step Solution

1. Step 1: Write the proportion equation
   38,322 : 59,814 = 59,814 : x
2. Step 2: Convert to fraction form
   38,322/59,814 = 59,814/x
3. Step 3: Cross multiply
   38,322x = 59,814 × 59,814
4. Step 4: Simplify right side
   38,322x = 3,577,714,596
5. Step 5: Solve for x
   x = 3,577,714,596/38,322
6. Step 6: Final answer
   x = 93,359.29