Finding the Third Proportional to 39,582 and 83,821.50

Step by Step Solution

1. Step 1: Write the proportion equation
   39,582 : 83,821.50 = 83,821.50 : x
2. Step 2: Convert to fraction form
   39,582/83,821.50 = 83,821.50/x
3. Step 3: Cross multiply
   39,582x = 83,821.50 × 83,821.50
4. Step 4: Simplify right side
   39,582x = 7,026,043,862.25
5. Step 5: Solve for x
   x = 7,026,043,862.25/39,582
6. Step 6: Final answer
   x = 177,506.03