Finding the Third Proportional to 13,761 and 21,877.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,761 : 21,877.50 = 21,877.50 : x
2. Step 2: Convert to fraction form
   13,761/21,877.50 = 21,877.50/x
3. Step 3: Cross multiply
   13,761x = 21,877.50 × 21,877.50
4. Step 4: Simplify right side
   13,761x = 478,625,006.25
5. Step 5: Solve for x
   x = 478,625,006.25/13,761
6. Step 6: Final answer
   x = 34,781.27