Finding the Third Proportional to 45,814 and 69,359

Step by Step Solution

1. Step 1: Write the proportion equation
   45,814 : 69,359 = 69,359 : x
2. Step 2: Convert to fraction form
   45,814/69,359 = 69,359/x
3. Step 3: Cross multiply
   45,814x = 69,359 × 69,359
4. Step 4: Simplify right side
   45,814x = 4,810,670,881
5. Step 5: Solve for x
   x = 4,810,670,881/45,814
6. Step 6: Final answer
   x = 105,004.38