Finding the Third Proportional to 34,611 and 74,323.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,611 : 74,323.50 = 74,323.50 : x
2. Step 2: Convert to fraction form
   34,611/74,323.50 = 74,323.50/x
3. Step 3: Cross multiply
   34,611x = 74,323.50 × 74,323.50
4. Step 4: Simplify right side
   34,611x = 5,523,982,652.25
5. Step 5: Solve for x
   x = 5,523,982,652.25/34,611
6. Step 6: Final answer
   x = 159,601.94