Finding the Third Proportional to 39,782.50 and 86,946.50

Step by Step Solution

1. Step 1: Write the proportion equation
   39,782.50 : 86,946.50 = 86,946.50 : x
2. Step 2: Convert to fraction form
   39,782.50/86,946.50 = 86,946.50/x
3. Step 3: Cross multiply
   39,782.50x = 86,946.50 × 86,946.50
4. Step 4: Simplify right side
   39,782.50x = 7,559,693,862.25
5. Step 5: Solve for x
   x = 7,559,693,862.25/39,782.50
6. Step 6: Final answer
   x = 190,025.61