Finding the Third Proportional to 31,903.50 and 51,298.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,903.50 : 51,298.50 = 51,298.50 : x
2. Step 2: Convert to fraction form
   31,903.50/51,298.50 = 51,298.50/x
3. Step 3: Cross multiply
   31,903.50x = 51,298.50 × 51,298.50
4. Step 4: Simplify right side
   31,903.50x = 2,631,536,102.25
5. Step 5: Solve for x
   x = 2,631,536,102.25/31,903.50
6. Step 6: Final answer
   x = 82,484.24