Finding the Third Proportional to 39,678.75 and 86,602.50

Step by Step Solution

1. Step 1: Write the proportion equation
   39,678.75 : 86,602.50 = 86,602.50 : x
2. Step 2: Convert to fraction form
   39,678.75/86,602.50 = 86,602.50/x
3. Step 3: Cross multiply
   39,678.75x = 86,602.50 × 86,602.50
4. Step 4: Simplify right side
   39,678.75x = 7,499,993,006.25
5. Step 5: Solve for x
   x = 7,499,993,006.25/39,678.75
6. Step 6: Final answer
   x = 189,017.87