Finding the Third Proportional to 31,581 and 45,625.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,581 : 45,625.50 = 45,625.50 : x
2. Step 2: Convert to fraction form
   31,581/45,625.50 = 45,625.50/x
3. Step 3: Cross multiply
   31,581x = 45,625.50 × 45,625.50
4. Step 4: Simplify right side
   31,581x = 2,081,686,250.25
5. Step 5: Solve for x
   x = 2,081,686,250.25/31,581
6. Step 6: Final answer
   x = 65,915.78