Finding the Third Proportional to 29,596 and 41,632.50

Step by Step Solution

1. Step 1: Write the proportion equation
   29,596 : 41,632.50 = 41,632.50 : x
2. Step 2: Convert to fraction form
   29,596/41,632.50 = 41,632.50/x
3. Step 3: Cross multiply
   29,596x = 41,632.50 × 41,632.50
4. Step 4: Simplify right side
   29,596x = 1,733,265,056.25
5. Step 5: Solve for x
   x = 1,733,265,056.25/29,596
6. Step 6: Final answer
   x = 58,564.17