Finding the Third Proportional to 37,372.50 and 81,752.63

Step by Step Solution

1. Step 1: Write the proportion equation
   37,372.50 : 81,752.63 = 81,752.63 : x
2. Step 2: Convert to fraction form
   37,372.50/81,752.63 = 81,752.63/x
3. Step 3: Cross multiply
   37,372.50x = 81,752.63 × 81,752.63
4. Step 4: Simplify right side
   37,372.50x = 6,683,491,694.39
5. Step 5: Solve for x
   x = 6,683,491,694.39/37,372.50
6. Step 6: Final answer
   x = 178,834.48