Finding the Third Proportional to 27,789 and 43,096.50

Step by Step Solution

1. Step 1: Write the proportion equation
   27,789 : 43,096.50 = 43,096.50 : x
2. Step 2: Convert to fraction form
   27,789/43,096.50 = 43,096.50/x
3. Step 3: Cross multiply
   27,789x = 43,096.50 × 43,096.50
4. Step 4: Simplify right side
   27,789x = 1,857,308,312.25
5. Step 5: Solve for x
   x = 1,857,308,312.25/27,789
6. Step 6: Final answer
   x = 66,836.10