Finding the Third Proportional to 38,237 and 82,011.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,237 : 82,011.50 = 82,011.50 : x
2. Step 2: Convert to fraction form
   38,237/82,011.50 = 82,011.50/x
3. Step 3: Cross multiply
   38,237x = 82,011.50 × 82,011.50
4. Step 4: Simplify right side
   38,237x = 6,725,886,132.25
5. Step 5: Solve for x
   x = 6,725,886,132.25/38,237
6. Step 6: Final answer
   x = 175,899.94