Finding the Third Proportional to 31,305 and 45,415.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,305 : 45,415.50 = 45,415.50 : x
2. Step 2: Convert to fraction form
   31,305/45,415.50 = 45,415.50/x
3. Step 3: Cross multiply
   31,305x = 45,415.50 × 45,415.50
4. Step 4: Simplify right side
   31,305x = 2,062,567,640.25
5. Step 5: Solve for x
   x = 2,062,567,640.25/31,305
6. Step 6: Final answer
   x = 65,886.20