Finding the Third Proportional to 32,138 and 66,705.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,138 : 66,705.50 = 66,705.50 : x
2. Step 2: Convert to fraction form
   32,138/66,705.50 = 66,705.50/x
3. Step 3: Cross multiply
   32,138x = 66,705.50 × 66,705.50
4. Step 4: Simplify right side
   32,138x = 4,449,623,730.25
5. Step 5: Solve for x
   x = 4,449,623,730.25/32,138
6. Step 6: Final answer
   x = 138,453.66