Finding the Third Proportional to 35,532 and 77,422.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,532 : 77,422.50 = 77,422.50 : x
2. Step 2: Convert to fraction form
   35,532/77,422.50 = 77,422.50/x
3. Step 3: Cross multiply
   35,532x = 77,422.50 × 77,422.50
4. Step 4: Simplify right side
   35,532x = 5,994,243,506.25
5. Step 5: Solve for x
   x = 5,994,243,506.25/35,532
6. Step 6: Final answer
   x = 168,699.86