Finding the Third Proportional to 39,692.75 and 85,784.50

Step by Step Solution

1. Step 1: Write the proportion equation
   39,692.75 : 85,784.50 = 85,784.50 : x
2. Step 2: Convert to fraction form
   39,692.75/85,784.50 = 85,784.50/x
3. Step 3: Cross multiply
   39,692.75x = 85,784.50 × 85,784.50
4. Step 4: Simplify right side
   39,692.75x = 7,358,980,440.25
5. Step 5: Solve for x
   x = 7,358,980,440.25/39,692.75
6. Step 6: Final answer
   x = 185,398.60