Finding the Third Proportional to 14,952 and 31,726.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,952 : 31,726.50 = 31,726.50 : x
2. Step 2: Convert to fraction form
   14,952/31,726.50 = 31,726.50/x
3. Step 3: Cross multiply
   14,952x = 31,726.50 × 31,726.50
4. Step 4: Simplify right side
   14,952x = 1,006,570,802.25
5. Step 5: Solve for x
   x = 1,006,570,802.25/14,952
6. Step 6: Final answer
   x = 67,320.14