Finding the Third Proportional to 31,926.50 and 64,764.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,926.50 : 64,764.50 = 64,764.50 : x
2. Step 2: Convert to fraction form
   31,926.50/64,764.50 = 64,764.50/x
3. Step 3: Cross multiply
   31,926.50x = 64,764.50 × 64,764.50
4. Step 4: Simplify right side
   31,926.50x = 4,194,440,460.25
5. Step 5: Solve for x
   x = 4,194,440,460.25/31,926.50
6. Step 6: Final answer
   x = 131,378.02