Finding the Third Proportional to 38,643 and 81,436.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,643 : 81,436.50 = 81,436.50 : x
2. Step 2: Convert to fraction form
   38,643/81,436.50 = 81,436.50/x
3. Step 3: Cross multiply
   38,643x = 81,436.50 × 81,436.50
4. Step 4: Simplify right side
   38,643x = 6,631,903,532.25
5. Step 5: Solve for x
   x = 6,631,903,532.25/38,643
6. Step 6: Final answer
   x = 171,619.79