Finding the Third Proportional to 34,677 and 74,826

Step by Step Solution

1. Step 1: Write the proportion equation
   34,677 : 74,826 = 74,826 : x
2. Step 2: Convert to fraction form
   34,677/74,826 = 74,826/x
3. Step 3: Cross multiply
   34,677x = 74,826 × 74,826
4. Step 4: Simplify right side
   34,677x = 5,598,930,276
5. Step 5: Solve for x
   x = 5,598,930,276/34,677
6. Step 6: Final answer
   x = 161,459.48