Finding the Third Proportional to 64,209 and 95,633.50

Step by Step Solution

1. Step 1: Write the proportion equation
   64,209 : 95,633.50 = 95,633.50 : x
2. Step 2: Convert to fraction form
   64,209/95,633.50 = 95,633.50/x
3. Step 3: Cross multiply
   64,209x = 95,633.50 × 95,633.50
4. Step 4: Simplify right side
   64,209x = 9,145,766,322.25
5. Step 5: Solve for x
   x = 9,145,766,322.25/64,209
6. Step 6: Final answer
   x = 142,437.45