Finding the Third Proportional to 32,953.50 and 37,381.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,953.50 : 37,381.50 = 37,381.50 : x
2. Step 2: Convert to fraction form
   32,953.50/37,381.50 = 37,381.50/x
3. Step 3: Cross multiply
   32,953.50x = 37,381.50 × 37,381.50
4. Step 4: Simplify right side
   32,953.50x = 1,397,376,542.25
5. Step 5: Solve for x
   x = 1,397,376,542.25/32,953.50
6. Step 6: Final answer
   x = 42,404.50