Finding the Third Proportional to 31,509.94 and 48,814.13

Step by Step Solution

1. Step 1: Write the proportion equation
   31,509.94 : 48,814.13 = 48,814.13 : x
2. Step 2: Convert to fraction form
   31,509.94/48,814.13 = 48,814.13/x
3. Step 3: Cross multiply
   31,509.94x = 48,814.13 × 48,814.13
4. Step 4: Simplify right side
   31,509.94x = 2,382,818,799.52
5. Step 5: Solve for x
   x = 2,382,818,799.52/31,509.94
6. Step 6: Final answer
   x = 75,621.18