Finding the Third Proportional to 31,777.50 and 46,603.69

Step by Step Solution

1. Step 1: Write the proportion equation
   31,777.50 : 46,603.69 = 46,603.69 : x
2. Step 2: Convert to fraction form
   31,777.50/46,603.69 = 46,603.69/x
3. Step 3: Cross multiply
   31,777.50x = 46,603.69 × 46,603.69
4. Step 4: Simplify right side
   31,777.50x = 2,171,903,688.60
5. Step 5: Solve for x
   x = 2,171,903,688.60/31,777.50
6. Step 6: Final answer
   x = 68,347.22