Finding the Third Proportional to 32,961.50 and 52,406

Step by Step Solution

1. Step 1: Write the proportion equation
   32,961.50 : 52,406 = 52,406 : x
2. Step 2: Convert to fraction form
   32,961.50/52,406 = 52,406/x
3. Step 3: Cross multiply
   32,961.50x = 52,406 × 52,406
4. Step 4: Simplify right side
   32,961.50x = 2,746,388,836
5. Step 5: Solve for x
   x = 2,746,388,836/32,961.50
6. Step 6: Final answer
   x = 83,321.11