Finding the Third Proportional to 37,432 and 81,897.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,432 : 81,897.50 = 81,897.50 : x
2. Step 2: Convert to fraction form
   37,432/81,897.50 = 81,897.50/x
3. Step 3: Cross multiply
   37,432x = 81,897.50 × 81,897.50
4. Step 4: Simplify right side
   37,432x = 6,707,200,506.25
5. Step 5: Solve for x
   x = 6,707,200,506.25/37,432
6. Step 6: Final answer
   x = 179,183.60