Finding the Third Proportional to 38,590.50 and 78,253.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,590.50 : 78,253.50 = 78,253.50 : x
2. Step 2: Convert to fraction form
   38,590.50/78,253.50 = 78,253.50/x
3. Step 3: Cross multiply
   38,590.50x = 78,253.50 × 78,253.50
4. Step 4: Simplify right side
   38,590.50x = 6,123,610,262.25
5. Step 5: Solve for x
   x = 6,123,610,262.25/38,590.50
6. Step 6: Final answer
   x = 158,681.81