Finding the Third Proportional to 17,784.25 and 38,848.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,784.25 : 38,848.50 = 38,848.50 : x
2. Step 2: Convert to fraction form
   17,784.25/38,848.50 = 38,848.50/x
3. Step 3: Cross multiply
   17,784.25x = 38,848.50 × 38,848.50
4. Step 4: Simplify right side
   17,784.25x = 1,509,205,952.25
5. Step 5: Solve for x
   x = 1,509,205,952.25/17,784.25
6. Step 6: Final answer
   x = 84,861.94