Finding the Third Proportional to 39,123.75 and 84,322.50

Step by Step Solution

1. Step 1: Write the proportion equation
   39,123.75 : 84,322.50 = 84,322.50 : x
2. Step 2: Convert to fraction form
   39,123.75/84,322.50 = 84,322.50/x
3. Step 3: Cross multiply
   39,123.75x = 84,322.50 × 84,322.50
4. Step 4: Simplify right side
   39,123.75x = 7,110,284,006.25
5. Step 5: Solve for x
   x = 7,110,284,006.25/39,123.75
6. Step 6: Final answer
   x = 181,738.30