Finding the Third Proportional to 27,952 and 41,547.50

Step by Step Solution

1. Step 1: Write the proportion equation
   27,952 : 41,547.50 = 41,547.50 : x
2. Step 2: Convert to fraction form
   27,952/41,547.50 = 41,547.50/x
3. Step 3: Cross multiply
   27,952x = 41,547.50 × 41,547.50
4. Step 4: Simplify right side
   27,952x = 1,726,194,756.25
5. Step 5: Solve for x
   x = 1,726,194,756.25/27,952
6. Step 6: Final answer
   x = 61,755.68