Finding the Third Proportional to 31,590.75 and 68,077.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,590.75 : 68,077.50 = 68,077.50 : x
2. Step 2: Convert to fraction form
   31,590.75/68,077.50 = 68,077.50/x
3. Step 3: Cross multiply
   31,590.75x = 68,077.50 × 68,077.50
4. Step 4: Simplify right side
   31,590.75x = 4,634,546,006.25
5. Step 5: Solve for x
   x = 4,634,546,006.25/31,590.75
6. Step 6: Final answer
   x = 146,705.79