Finding the Third Proportional to 66,538.50 and 95,645.50

Step by Step Solution

1. Step 1: Write the proportion equation
   66,538.50 : 95,645.50 = 95,645.50 : x
2. Step 2: Convert to fraction form
   66,538.50/95,645.50 = 95,645.50/x
3. Step 3: Cross multiply
   66,538.50x = 95,645.50 × 95,645.50
4. Step 4: Simplify right side
   66,538.50x = 9,148,061,670.25
5. Step 5: Solve for x
   x = 9,148,061,670.25/66,538.50
6. Step 6: Final answer
   x = 137,485.24