Finding the Third Proportional to 35,526.75 and 76,588.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,526.75 : 76,588.50 = 76,588.50 : x
2. Step 2: Convert to fraction form
   35,526.75/76,588.50 = 76,588.50/x
3. Step 3: Cross multiply
   35,526.75x = 76,588.50 × 76,588.50
4. Step 4: Simplify right side
   35,526.75x = 5,865,798,332.25
5. Step 5: Solve for x
   x = 5,865,798,332.25/35,526.75
6. Step 6: Final answer
   x = 165,109.34