Finding the Third Proportional to 17,784.50 and 39,335.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,784.50 : 39,335.50 = 39,335.50 : x
2. Step 2: Convert to fraction form
   17,784.50/39,335.50 = 39,335.50/x
3. Step 3: Cross multiply
   17,784.50x = 39,335.50 × 39,335.50
4. Step 4: Simplify right side
   17,784.50x = 1,547,281,560.25
5. Step 5: Solve for x
   x = 1,547,281,560.25/17,784.50
6. Step 6: Final answer
   x = 87,001.69