Finding the Third Proportional to 66,952 and 101,111

Step by Step Solution

1. Step 1: Write the proportion equation
   66,952 : 101,111 = 101,111 : x
2. Step 2: Convert to fraction form
   66,952/101,111 = 101,111/x
3. Step 3: Cross multiply
   66,952x = 101,111 × 101,111
4. Step 4: Simplify right side
   66,952x = 10,223,434,321
5. Step 5: Solve for x
   x = 10,223,434,321/66,952
6. Step 6: Final answer
   x = 152,697.97