Finding the Third Proportional to 17,509.50 and 37,784.25

Step by Step Solution

1. Step 1: Write the proportion equation
   17,509.50 : 37,784.25 = 37,784.25 : x
2. Step 2: Convert to fraction form
   17,509.50/37,784.25 = 37,784.25/x
3. Step 3: Cross multiply
   17,509.50x = 37,784.25 × 37,784.25
4. Step 4: Simplify right side
   17,509.50x = 1,427,649,548.06
5. Step 5: Solve for x
   x = 1,427,649,548.06/17,509.50
6. Step 6: Final answer
   x = 81,535.71