Finding the Third Proportional to 39,225.75 and 84,769.50

Step by Step Solution

1. Step 1: Write the proportion equation
   39,225.75 : 84,769.50 = 84,769.50 : x
2. Step 2: Convert to fraction form
   39,225.75/84,769.50 = 84,769.50/x
3. Step 3: Cross multiply
   39,225.75x = 84,769.50 × 84,769.50
4. Step 4: Simplify right side
   39,225.75x = 7,185,868,130.25
5. Step 5: Solve for x
   x = 7,185,868,130.25/39,225.75
6. Step 6: Final answer
   x = 183,192.63