Finding the Third Proportional to 27,798 and 41,938.50

Step by Step Solution

1. Step 1: Write the proportion equation
   27,798 : 41,938.50 = 41,938.50 : x
2. Step 2: Convert to fraction form
   27,798/41,938.50 = 41,938.50/x
3. Step 3: Cross multiply
   27,798x = 41,938.50 × 41,938.50
4. Step 4: Simplify right side
   27,798x = 1,758,837,782.25
5. Step 5: Solve for x
   x = 1,758,837,782.25/27,798
6. Step 6: Final answer
   x = 63,272.10