Finding the Third Proportional to 65,784.50 and 102,047.50

Step by Step Solution

1. Step 1: Write the proportion equation
   65,784.50 : 102,047.50 = 102,047.50 : x
2. Step 2: Convert to fraction form
   65,784.50/102,047.50 = 102,047.50/x
3. Step 3: Cross multiply
   65,784.50x = 102,047.50 × 102,047.50
4. Step 4: Simplify right side
   65,784.50x = 10,413,692,256.25
5. Step 5: Solve for x
   x = 10,413,692,256.25/65,784.50
6. Step 6: Final answer
   x = 158,300.09