Finding the Third Proportional to 30,699 and 64,495.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,699 : 64,495.50 = 64,495.50 : x
2. Step 2: Convert to fraction form
   30,699/64,495.50 = 64,495.50/x
3. Step 3: Cross multiply
   30,699x = 64,495.50 × 64,495.50
4. Step 4: Simplify right side
   30,699x = 4,159,669,520.25
5. Step 5: Solve for x
   x = 4,159,669,520.25/30,699
6. Step 6: Final answer
   x = 135,498.53