Finding the Third Proportional to 39,507 and 83,662.50

Step by Step Solution

1. Step 1: Write the proportion equation
   39,507 : 83,662.50 = 83,662.50 : x
2. Step 2: Convert to fraction form
   39,507/83,662.50 = 83,662.50/x
3. Step 3: Cross multiply
   39,507x = 83,662.50 × 83,662.50
4. Step 4: Simplify right side
   39,507x = 6,999,413,906.25
5. Step 5: Solve for x
   x = 6,999,413,906.25/39,507
6. Step 6: Final answer
   x = 177,168.96