Finding the Third Proportional to 37,586.50 and 87,402

Step by Step Solution

1. Step 1: Write the proportion equation
   37,586.50 : 87,402 = 87,402 : x
2. Step 2: Convert to fraction form
   37,586.50/87,402 = 87,402/x
3. Step 3: Cross multiply
   37,586.50x = 87,402 × 87,402
4. Step 4: Simplify right side
   37,586.50x = 7,639,109,604
5. Step 5: Solve for x
   x = 7,639,109,604/37,586.50
6. Step 6: Final answer
   x = 203,240.78