Finding the Third Proportional to 39,770 and 85,767.50

Step by Step Solution

1. Step 1: Write the proportion equation
   39,770 : 85,767.50 = 85,767.50 : x
2. Step 2: Convert to fraction form
   39,770/85,767.50 = 85,767.50/x
3. Step 3: Cross multiply
   39,770x = 85,767.50 × 85,767.50
4. Step 4: Simplify right side
   39,770x = 7,356,064,056.25
5. Step 5: Solve for x
   x = 7,356,064,056.25/39,770
6. Step 6: Final answer
   x = 184,965.15