Finding the Third Proportional to 34,689 and 74,638.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,689 : 74,638.50 = 74,638.50 : x
2. Step 2: Convert to fraction form
   34,689/74,638.50 = 74,638.50/x
3. Step 3: Cross multiply
   34,689x = 74,638.50 × 74,638.50
4. Step 4: Simplify right side
   34,689x = 5,570,905,682.25
5. Step 5: Solve for x
   x = 5,570,905,682.25/34,689
6. Step 6: Final answer
   x = 160,595.74