Finding the Third Proportional to 32,680 and 51,931.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,680 : 51,931.50 = 51,931.50 : x
2. Step 2: Convert to fraction form
   32,680/51,931.50 = 51,931.50/x
3. Step 3: Cross multiply
   32,680x = 51,931.50 × 51,931.50
4. Step 4: Simplify right side
   32,680x = 2,696,880,692.25
5. Step 5: Solve for x
   x = 2,696,880,692.25/32,680
6. Step 6: Final answer
   x = 82,523.89