Finding the Third Proportional to 34,864.50 and 76,384.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,864.50 : 76,384.50 = 76,384.50 : x
2. Step 2: Convert to fraction form
   34,864.50/76,384.50 = 76,384.50/x
3. Step 3: Cross multiply
   34,864.50x = 76,384.50 × 76,384.50
4. Step 4: Simplify right side
   34,864.50x = 5,834,591,840.25
5. Step 5: Solve for x
   x = 5,834,591,840.25/34,864.50
6. Step 6: Final answer
   x = 167,350.51