Finding the Third Proportional to 39,539.50 and 83,663.50

Step by Step Solution

1. Step 1: Write the proportion equation
   39,539.50 : 83,663.50 = 83,663.50 : x
2. Step 2: Convert to fraction form
   39,539.50/83,663.50 = 83,663.50/x
3. Step 3: Cross multiply
   39,539.50x = 83,663.50 × 83,663.50
4. Step 4: Simplify right side
   39,539.50x = 6,999,581,232.25
5. Step 5: Solve for x
   x = 6,999,581,232.25/39,539.50
6. Step 6: Final answer
   x = 177,027.56