Finding the Third Proportional to 34,692 and 74,650

Step by Step Solution

1. Step 1: Write the proportion equation
   34,692 : 74,650 = 74,650 : x
2. Step 2: Convert to fraction form
   34,692/74,650 = 74,650/x
3. Step 3: Cross multiply
   34,692x = 74,650 × 74,650
4. Step 4: Simplify right side
   34,692x = 5,572,622,500
5. Step 5: Solve for x
   x = 5,572,622,500/34,692
6. Step 6: Final answer
   x = 160,631.34