Finding the Third Proportional to 34,685 and 74,630.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,685 : 74,630.50 = 74,630.50 : x
2. Step 2: Convert to fraction form
   34,685/74,630.50 = 74,630.50/x
3. Step 3: Cross multiply
   34,685x = 74,630.50 × 74,630.50
4. Step 4: Simplify right side
   34,685x = 5,569,711,530.25
5. Step 5: Solve for x
   x = 5,569,711,530.25/34,685
6. Step 6: Final answer
   x = 160,579.83