Finding the Third Proportional to 31,007.81 and 64,405.13

Step by Step Solution

1. Step 1: Write the proportion equation
   31,007.81 : 64,405.13 = 64,405.13 : x
2. Step 2: Convert to fraction form
   31,007.81/64,405.13 = 64,405.13/x
3. Step 3: Cross multiply
   31,007.81x = 64,405.13 × 64,405.13
4. Step 4: Simplify right side
   31,007.81x = 4,148,020,126.27
5. Step 5: Solve for x
   x = 4,148,020,126.27/31,007.81
6. Step 6: Final answer
   x = 133,773.39