Finding the Third Proportional to 45,904 and 69,774

Step by Step Solution

1. Step 1: Write the proportion equation
   45,904 : 69,774 = 69,774 : x
2. Step 2: Convert to fraction form
   45,904/69,774 = 69,774/x
3. Step 3: Cross multiply
   45,904x = 69,774 × 69,774
4. Step 4: Simplify right side
   45,904x = 4,868,411,076
5. Step 5: Solve for x
   x = 4,868,411,076/45,904
6. Step 6: Final answer
   x = 106,056.36