Finding the Third Proportional to 31,547.75 and 64,022.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,547.75 : 64,022.50 = 64,022.50 : x
2. Step 2: Convert to fraction form
   31,547.75/64,022.50 = 64,022.50/x
3. Step 3: Cross multiply
   31,547.75x = 64,022.50 × 64,022.50
4. Step 4: Simplify right side
   31,547.75x = 4,098,880,506.25
5. Step 5: Solve for x
   x = 4,098,880,506.25/31,547.75
6. Step 6: Final answer
   x = 129,926.24