Finding the Third Proportional to 32,838.50 and 52,007

Step by Step Solution

1. Step 1: Write the proportion equation
   32,838.50 : 52,007 = 52,007 : x
2. Step 2: Convert to fraction form
   32,838.50/52,007 = 52,007/x
3. Step 3: Cross multiply
   32,838.50x = 52,007 × 52,007
4. Step 4: Simplify right side
   32,838.50x = 2,704,728,049
5. Step 5: Solve for x
   x = 2,704,728,049/32,838.50
6. Step 6: Final answer
   x = 82,364.54