Finding the Third Proportional to 37,503 and 85,981.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,503 : 85,981.50 = 85,981.50 : x
2. Step 2: Convert to fraction form
   37,503/85,981.50 = 85,981.50/x
3. Step 3: Cross multiply
   37,503x = 85,981.50 × 85,981.50
4. Step 4: Simplify right side
   37,503x = 7,392,818,342.25
5. Step 5: Solve for x
   x = 7,392,818,342.25/37,503
6. Step 6: Final answer
   x = 197,126.05