Finding the Third Proportional to 5,861 and 13,835.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,861 : 13,835.50 = 13,835.50 : x
2. Step 2: Convert to fraction form
   5,861/13,835.50 = 13,835.50/x
3. Step 3: Cross multiply
   5,861x = 13,835.50 × 13,835.50
4. Step 4: Simplify right side
   5,861x = 191,421,060.25
5. Step 5: Solve for x
   x = 191,421,060.25/5,861
6. Step 6: Final answer
   x = 32,660.14