Finding the Third Proportional to 21,645 and 32,468.06

Step by Step Solution

1. Step 1: Write the proportion equation
   21,645 : 32,468.06 = 32,468.06 : x
2. Step 2: Convert to fraction form
   21,645/32,468.06 = 32,468.06/x
3. Step 3: Cross multiply
   21,645x = 32,468.06 × 32,468.06
4. Step 4: Simplify right side
   21,645x = 1,054,175,082.50
5. Step 5: Solve for x
   x = 1,054,175,082.50/21,645
6. Step 6: Final answer
   x = 48,702.94