Finding the Third Proportional to 47,683 and 64,685.50

Step by Step Solution

1. Step 1: Write the proportion equation
   47,683 : 64,685.50 = 64,685.50 : x
2. Step 2: Convert to fraction form
   47,683/64,685.50 = 64,685.50/x
3. Step 3: Cross multiply
   47,683x = 64,685.50 × 64,685.50
4. Step 4: Simplify right side
   47,683x = 4,184,213,910.25
5. Step 5: Solve for x
   x = 4,184,213,910.25/47,683
6. Step 6: Final answer
   x = 87,750.64