Finding the Third Proportional to 23,085 and 59,737.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23,085 : 59,737.50 = 59,737.50 : x
2. Step 2: Convert to fraction form
   23,085/59,737.50 = 59,737.50/x
3. Step 3: Cross multiply
   23,085x = 59,737.50 × 59,737.50
4. Step 4: Simplify right side
   23,085x = 3,568,568,906.25
5. Step 5: Solve for x
   x = 3,568,568,906.25/23,085
6. Step 6: Final answer
   x = 154,583.88