Finding the Third Proportional to 38,632 and 81,415.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,632 : 81,415.50 = 81,415.50 : x
2. Step 2: Convert to fraction form
   38,632/81,415.50 = 81,415.50/x
3. Step 3: Cross multiply
   38,632x = 81,415.50 × 81,415.50
4. Step 4: Simplify right side
   38,632x = 6,628,483,640.25
5. Step 5: Solve for x
   x = 6,628,483,640.25/38,632
6. Step 6: Final answer
   x = 171,580.13