Finding the Third Proportional to 65,827.50 and 99,322.50

Step by Step Solution

1. Step 1: Write the proportion equation
   65,827.50 : 99,322.50 = 99,322.50 : x
2. Step 2: Convert to fraction form
   65,827.50/99,322.50 = 99,322.50/x
3. Step 3: Cross multiply
   65,827.50x = 99,322.50 × 99,322.50
4. Step 4: Simplify right side
   65,827.50x = 9,864,959,006.25
5. Step 5: Solve for x
   x = 9,864,959,006.25/65,827.50
6. Step 6: Final answer
   x = 149,860.76