Finding the Third Proportional to 14,835 and 34,495.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,835 : 34,495.50 = 34,495.50 : x
2. Step 2: Convert to fraction form
   14,835/34,495.50 = 34,495.50/x
3. Step 3: Cross multiply
   14,835x = 34,495.50 × 34,495.50
4. Step 4: Simplify right side
   14,835x = 1,189,939,520.25
5. Step 5: Solve for x
   x = 1,189,939,520.25/14,835
6. Step 6: Final answer
   x = 80,211.63