Finding the Third Proportional to 37,527 and 80,074

Step by Step Solution

1. Step 1: Write the proportion equation
   37,527 : 80,074 = 80,074 : x
2. Step 2: Convert to fraction form
   37,527/80,074 = 80,074/x
3. Step 3: Cross multiply
   37,527x = 80,074 × 80,074
4. Step 4: Simplify right side
   37,527x = 6,411,845,476
5. Step 5: Solve for x
   x = 6,411,845,476/37,527
6. Step 6: Final answer
   x = 170,859.53