Finding the Third Proportional to 30,574.50 and 64,471.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,574.50 : 64,471.50 = 64,471.50 : x
2. Step 2: Convert to fraction form
   30,574.50/64,471.50 = 64,471.50/x
3. Step 3: Cross multiply
   30,574.50x = 64,471.50 × 64,471.50
4. Step 4: Simplify right side
   30,574.50x = 4,156,574,312.25
5. Step 5: Solve for x
   x = 4,156,574,312.25/30,574.50
6. Step 6: Final answer
   x = 135,949.05