Finding the Third Proportional to 37,302.50 and 80,126.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,302.50 : 80,126.50 = 80,126.50 : x
2. Step 2: Convert to fraction form
   37,302.50/80,126.50 = 80,126.50/x
3. Step 3: Cross multiply
   37,302.50x = 80,126.50 × 80,126.50
4. Step 4: Simplify right side
   37,302.50x = 6,420,256,002.25
5. Step 5: Solve for x
   x = 6,420,256,002.25/37,302.50
6. Step 6: Final answer
   x = 172,113.29