Finding the Third Proportional to 37,250 and 80,516

Step by Step Solution

1. Step 1: Write the proportion equation
   37,250 : 80,516 = 80,516 : x
2. Step 2: Convert to fraction form
   37,250/80,516 = 80,516/x
3. Step 3: Cross multiply
   37,250x = 80,516 × 80,516
4. Step 4: Simplify right side
   37,250x = 6,482,826,256
5. Step 5: Solve for x
   x = 6,482,826,256/37,250
6. Step 6: Final answer
   x = 174,035.60