Finding the Third Proportional to 38,643.50 and 81,437.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,643.50 : 81,437.50 = 81,437.50 : x
2. Step 2: Convert to fraction form
   38,643.50/81,437.50 = 81,437.50/x
3. Step 3: Cross multiply
   38,643.50x = 81,437.50 × 81,437.50
4. Step 4: Simplify right side
   38,643.50x = 6,632,066,406.25
5. Step 5: Solve for x
   x = 6,632,066,406.25/38,643.50
6. Step 6: Final answer
   x = 171,621.78