Finding the Third Proportional to 34,684 and 74,628.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,684 : 74,628.50 = 74,628.50 : x
2. Step 2: Convert to fraction form
   34,684/74,628.50 = 74,628.50/x
3. Step 3: Cross multiply
   34,684x = 74,628.50 × 74,628.50
4. Step 4: Simplify right side
   34,684x = 5,569,413,012.25
5. Step 5: Solve for x
   x = 5,569,413,012.25/34,684
6. Step 6: Final answer
   x = 160,575.86