Finding the Third Proportional to 39,698 and 85,875.50

Step by Step Solution

1. Step 1: Write the proportion equation
   39,698 : 85,875.50 = 85,875.50 : x
2. Step 2: Convert to fraction form
   39,698/85,875.50 = 85,875.50/x
3. Step 3: Cross multiply
   39,698x = 85,875.50 × 85,875.50
4. Step 4: Simplify right side
   39,698x = 7,374,601,500.25
5. Step 5: Solve for x
   x = 7,374,601,500.25/39,698
6. Step 6: Final answer
   x = 185,767.58