Finding the Third Proportional to 40,047.75 and 83,875.50

Step by Step Solution

1. Step 1: Write the proportion equation
   40,047.75 : 83,875.50 = 83,875.50 : x
2. Step 2: Convert to fraction form
   40,047.75/83,875.50 = 83,875.50/x
3. Step 3: Cross multiply
   40,047.75x = 83,875.50 × 83,875.50
4. Step 4: Simplify right side
   40,047.75x = 7,035,099,500.25
5. Step 5: Solve for x
   x = 7,035,099,500.25/40,047.75
6. Step 6: Final answer
   x = 175,667.78