Finding the Third Proportional to 27,691.50 and 65,011.50

Step by Step Solution

1. Step 1: Write the proportion equation
   27,691.50 : 65,011.50 = 65,011.50 : x
2. Step 2: Convert to fraction form
   27,691.50/65,011.50 = 65,011.50/x
3. Step 3: Cross multiply
   27,691.50x = 65,011.50 × 65,011.50
4. Step 4: Simplify right side
   27,691.50x = 4,226,495,132.25
5. Step 5: Solve for x
   x = 4,226,495,132.25/27,691.50
6. Step 6: Final answer
   x = 152,627.89