Finding the Third Proportional to 32,112 and 66,460.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,112 : 66,460.50 = 66,460.50 : x
2. Step 2: Convert to fraction form
   32,112/66,460.50 = 66,460.50/x
3. Step 3: Cross multiply
   32,112x = 66,460.50 × 66,460.50
4. Step 4: Simplify right side
   32,112x = 4,416,998,060.25
5. Step 5: Solve for x
   x = 4,416,998,060.25/32,112
6. Step 6: Final answer
   x = 137,549.77