Finding the Third Proportional to 66,516.50 and 105,314.50

Step by Step Solution

1. Step 1: Write the proportion equation
   66,516.50 : 105,314.50 = 105,314.50 : x
2. Step 2: Convert to fraction form
   66,516.50/105,314.50 = 105,314.50/x
3. Step 3: Cross multiply
   66,516.50x = 105,314.50 × 105,314.50
4. Step 4: Simplify right side
   66,516.50x = 11,091,143,910.25
5. Step 5: Solve for x
   x = 11,091,143,910.25/66,516.50
6. Step 6: Final answer
   x = 166,742.75