Finding the Third Proportional to 21,582 and 47,164.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,582 : 47,164.50 = 47,164.50 : x
2. Step 2: Convert to fraction form
   21,582/47,164.50 = 47,164.50/x
3. Step 3: Cross multiply
   21,582x = 47,164.50 × 47,164.50
4. Step 4: Simplify right side
   21,582x = 2,224,490,060.25
5. Step 5: Solve for x
   x = 2,224,490,060.25/21,582
6. Step 6: Final answer
   x = 103,071.54