Finding the Third Proportional to 41,748 and 84,952.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,748 : 84,952.50 = 84,952.50 : x
2. Step 2: Convert to fraction form
   41,748/84,952.50 = 84,952.50/x
3. Step 3: Cross multiply
   41,748x = 84,952.50 × 84,952.50
4. Step 4: Simplify right side
   41,748x = 7,216,927,256.25
5. Step 5: Solve for x
   x = 7,216,927,256.25/41,748
6. Step 6: Final answer
   x = 172,868.81