Finding the Third Proportional to 35,761.50 and 76,145.06

Step by Step Solution

1. Step 1: Write the proportion equation
   35,761.50 : 76,145.06 = 76,145.06 : x
2. Step 2: Convert to fraction form
   35,761.50/76,145.06 = 76,145.06/x
3. Step 3: Cross multiply
   35,761.50x = 76,145.06 × 76,145.06
4. Step 4: Simplify right side
   35,761.50x = 5,798,070,543.13
5. Step 5: Solve for x
   x = 5,798,070,543.13/35,761.50
6. Step 6: Final answer
   x = 162,131.64