Finding the Third Proportional to 27,827 and 61,656.50

Step by Step Solution

1. Step 1: Write the proportion equation
   27,827 : 61,656.50 = 61,656.50 : x
2. Step 2: Convert to fraction form
   27,827/61,656.50 = 61,656.50/x
3. Step 3: Cross multiply
   27,827x = 61,656.50 × 61,656.50
4. Step 4: Simplify right side
   27,827x = 3,801,523,992.25
5. Step 5: Solve for x
   x = 3,801,523,992.25/27,827
6. Step 6: Final answer
   x = 136,612.79